1. Find the zero's (aka roots) of the polynomial function and state the multiplicity of eac (i) (2.x +3)°(3x – 7)

Q: 15. Given the fumctions a(x) = x² + 2x- 1 and b(x), shown on the graph below, find P(x), where P(x)…

A: Given:  a(x)=x2+2x-1. b(x)=x+3. Determine the function P(x).…

Q: For the cubic polynomial function f(x) = ax³ + bx? + cx + d, find a, b, c, and d so that 0 is a…

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Q: The polynomial of degree 33, P(x)P(x), has a root of multiplicity 22 at x=3x=3 and a root of…

A: Given that the polynomial P (x) of degree 33, with x= 3 and x=-4 are root of multiplicity 22 and 11…

Q: Find a degree 4 polynomial that approximates the solution of y'=y+x², if y=1 when x=0. a.y=1+x+ b.…

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Q: 3. Sketch the graph of the polynomial function. Make sure to label the roots and y-intercept (g) 1(r…

A: see below the answer y-intercept is calculate y when x=0 And the y=intercept and roots of the…

Q: Find the formula for a cubic polynomial, ax³ + bx² + cx + d, with a critical point at x = 2, an…

A: Use double derivative concept

Q: when x = 3.57 using quadratic Approximate y Lagrange Interpolating polynomial up to 3rd degree. Use…

A: Given table is xi yi 3.1 20.1810 3.2 22.5280 3.3 25.0470 3.4 27.7440 3.5 30.6250 3.6…

Q: Find the standard form f(x) = a(x – h)²+k__of the quadratic function that has zeros of 9. and and…

A: The standard form of the quadratic function is f(x)=a(x-h)2+k. This form has zeros at 15 and 95.…

Q: For what values of the constants A and B is the polynomial function Ax 2. 2 4 f(x, у) %3D Ах + Bxy +…

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Q: The cubic polynomial shown below has zeroes only at x= -3 and x = 5 and passes through the point (2,…

A: To find y value

Q: need help with this for History of Math Stilwell 8.7.2 dealing with projective geometry

A: Proof:

Q: If y=f(x) is an odd polynomial function, which of the following is an odd polynomial functions?…

A: Given y=f(x) is odd polynomial  a polynomial is said to be odd if f(-x)=-f(x)

Q: Q3) Find the Lagrange polynomial that fits the followin value of y at x-0: Ans. y-6.03888 -2 3. 5.…

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Q: Write the equation of the degree 3 polynomial P (x), given that a) P(0) = -2, P' (0) = 3, P" (0) =…

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Q: The polynomial of degree 3, P(r), has a root of multiplicity 2 at z= 1 and a root of multiplicity 1…

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Q: find the function P defined by a polynomial of degree 3 with real cooefficients that satisfy the…

A: find the function P defined by a polynomial of degree 3 with real cooefficients that satisfy the…

Q: The polynomial of degree 3, P(x), has a root of multiplicity of 2 at x=3 and a root of multiplicity…

A: Please refer to the image below.

Q: Find a first-degree polynomial function P1 whose value and slope agree with the value and slope of f…

A: f(x) = cot(x),  c = π/4f(c) = cot(c) = cot(π/4) = 1f'(x) = -cosec2(x)Hence, f'(c) = -cosec2(c) =…

Q: Given the function f(n) = – 6(n – 5)°(n + 6)°(n – 7), its roots are and their multipicities are

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Q: Sketch a cubic polynomial g(x) with the following characteristics. g(x) > 0 on (-o0,-4) and (-2,3).…

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Q: Find a cubic polynomial f(x)=ax^3+bx^2+cx+d that has horizontal tangents at the points (-3,2) and…

A: We have to find the cubic polynomial f(x)=ax3+bx2+cx+d...........(1), so that it has horizontal…

Q: Consider y' + 2xy = e* Now leverage the equation Σ e* = п! n=0 to approximate y(x) to a third-degree…

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Q: Q3) Find the Lagrange polynomial that fits the following set of four poin value of y at x-0: Ans.…

A: Given: - The set of four points, x -2 3 1 7 y 5 7 11 34 To find: - The Lagrange polynomial…

Q: Q9 Find the polynomial interpolating the points f(3) by using Lagrange method 2.5 4 F(x) 0.33 0.38…

A: Formula for Lagrange's interpolating polynomial is :…

Q: 15(a). Consider the quadratic function f(x)=x²-2x-3. (1) Find the vertex and the intercepts of the…

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Q: Considering: y"(t) + ty' (t) + ky(t) = 0 y(0) = y'(0) = t0, In k is a positive even number. Find a…

A: Given that y''(t)+ty'(t)+ky(t)=0, y(0)=t0 and y'(0)=t0. Take y=a0+a1x+a2x2+a3x3+.....+akxk. Then the…

Q: The polynomial of degree 3, P(x), has a root of multiplicity 2 at x=3 and a root of multiplicity 1…

A: Explanation of the solution is given below....

Q: The coefficient of x' in the cubic polynomial g(x) is a, where a >0, The repeated roots of the…

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Q: Ex1: Find the first seven root of the polynomial equation f (x) = 2x³ - 9x² + 12x – 6 using (a)…

A: given : f(x) =2 x3-9 x2 +12 x -6  Newton Raphson method  formula : xk+1=xk-f(xk)f'(xk)…

Q: Find the t-intercepts of the polynomial function. C(t) = 8t(t - 5)²(t + 1) (t, C(t)) = -1,0 )…

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Q: The polynomial of degree 33, P(x), has a root of multiplicity 22 at x=5and a root of multiplicity 11…

A: Consider the polynomial p(x) =(x-a)n (x-b)m Then degree of p(x)=n+m To find: y-intercept, we set x=0…

Q: 14. Determine the real values of a, b, and c for the quadratic function f(x) = ax? + bx + c, a ± 0,…

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Q: Find the Third degree Taylar polynomial To (x) centered at a-1 for the function fCx) = ã…

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Q: Find a formula for the polynomial P(x) with degree 3 • real coefficients -D1 y-intercept at (0, 20)…

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Q: 1. State the degree, leading cocfficient, and end behaviours of cach polynomial function. a) f(x) =…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: The polynomial of degree 3, P(x), has a root of multiplicity 2 at x=5 and a root of multiplicity 11…

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Q: Find the standard formf (x) = a(x – h)² + k of the quadratic function that has a vertex at (-2, 5)…

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Q: The polynomial of degree 3, P(x), has a root of multiplicity 2 at x=4 and a root of multiplicity 1…

A: Given:Polynomial of 3 degreeroot of multiplicity 2 at x=4root of multiplicity 1 at x=-3y-intercept…

Q: 4) Make up a problem which determines the lowest real root of the fourth degree polynomial (you are…

A: The objective is to make a problem that determines lowest real root of fourth degree polynomial…

Q: 49. Find the quadratic polynomial g(x) = ax? + bx + c which best fits the function f(x) = e*t at x =…

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Q: 15(a). Consider the quadratic function f(x)=x2- 2x-3. (i) Find the vertex and the intercepts of the…

A: (a)  To find: The vertex and intercepts of the function: Given: The quadratic function is…

Q: Find a first-degree polynomial function P1 whose value and slope agree with the value and slope of f…

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Q: The polynomial of degree 3, P(x), has a root of multiplicity 2 at x = of multiplicity 1 at z = Find…

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Q: If y=1 when x=0,y'=1,y"=2 and y=-2, using Taylor's Polynomial what is the best fit polynomila for…

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Q: 2. Let p(x) be the cubic polynomial which satisfies p(-1) = p(0) = 1, p(1) = p(2) = 4. %3D Find the…

A: Assume p(x)=ax3+bx2+cx+d

Q: Which of the following polynomial functions is/are odd function(s)? a) y--2x* - 2x + 5x – 2 b) y--2x…

A: A function y=f(x) is even if f(-x)=f(x) and odd if f(-x)=-f(x) . Substitute -x for x in the equation…

Q: The polynomial of degree 3, P(r), has a root of multiplicity 2 at z = 2 and a root of multiplicity 1…

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Q: Considering: { y"(t) + ty'(t) + ky(t) = 0 y(0) = v (0) = t0, k is a positive even number. Find a…

A: The Laplace Transform of an IVP , y''(t)+Ay'(t)+By(t)=f(t) y(0)=a and y'(0)=b is given by,…

Q: The polynomial of degree 3, P(x), has a root of multiplicity 2 at x=1 and a root of multiplicity 1…

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