Suppose 34 is a root of a polynomial equation. What does this tell us about the leading coefficient and the constant term in the equation?

Q: Use the given information about the polynomial graph to write the equation. Degree 5. Roots of…

A: In this question, we need to find the polynomial equation using the information given about…

Q: Solve the following polynomial equation completely. Start by using the Factor Theorem. x³ + 9x² +…

A: Topic = Polynomial

Q: Give a polynomial division that has a quotient of x + 5 and a remainder of –2.

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Q: If  x3 + 7x - a has a remainder of 1 when divided by x+1 then a has a value of __?

A: Please refer the attached image for complete solution.

Q: Create a cubic expression that when divided by (x-1) will have a remainder of 6

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Q: Suppose that a polynomial equation has the following six roots: -7, -2, 1 + iv2, 1 - iv2, 2, and 7.…

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Q: Solve the following equations of the following polynomial   2x^3-8x^2-24x=0

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Q: If 3 and -4 are the roots of the polynomial Chapter R 55 G(x)=x+3x+px²-31x+2k, find the values of…

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Q: find the equation of a polynomial with the following zeros: 2, -1, 0, 4+i square root 5, 4-i square…

A: In the question we have to find the equation of polynomial  with the following zeros: 2, -1, 0, 4+i…

Q: 4. If x=-4 and x=1 are the roots of x* + 3x' - 3x +3x – 4 = 0, find the other two roots of the…

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Q: 6. If 2 + 3 is a polynomial root, name another root of the polynomial, and explain how you know it…

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Q: Find the roots of the factored polynomial. (x - 9)? Write your answer as a list of values separated…

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Q: determine whether  the following numbers are roots of the polynomial equation P(x) = 0, P(x) =2x^3 -…

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Q: what method should you use for a polynomial with 4 terms

A: The method to factor a polynomial with four term. Consider the polynomial of 4 terms is,…

Q: 16. If 2 + 3 is a polynomial root, name another root of the polynomial, and explain how you know it…

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Q: Find the roots of the following polynomial:  6x3- 7x2 - 28x + 20

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Q: If x = -1 is a root of the polynomial 0 = x3 + 4x? + 2x – 1, what are the remaining roots? -3+V13 x…

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Q: From the given polynomials be able to solve each by factoring or any other way of solving to find…

A: We will answer the first question as we don't answer multiple questions at a time. Please resubmit…

Q: Select the correct number of roots for each polynomial. 4x2 + x – 1 – 3x+ [Select] | Зх — 8 + 9х […

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Q: Now let's attempt to work a similar problem backwards. Suppose you have a polynomial with leading…

A: Given  Leading coefficient =12 constant=15

Q: We begin the process of factoring a polynomial by first factoring out the assuming that there is one…

A: Consider the given statement. Let's explain it by an example. Example. 3x2+6x Now, find the factor…

Q: One of the roots of the polynomial equation 2 x 3 + 9 x 2 – 33 x + 14 = 0 is 2. Find the other…

A: The detailed solution is given below Thank you

Q: Enter a quadratic polynomial which has roots at 2/17 and -9.

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Q: Determine the rational roots of the given equation 4x-3x 1

A: Given that : 4x3-3x=1. Therefore, 4x3=3x+1 Now, add (-4) on both the sides, we get ;…

Q: If a polynomial f(x) has a remainder of -4 when divided by x-3, what is f(3)? f(3) : %3D

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Q: Answer the questions about the following polynomial. 1+ 5x?

A: The given polynomial is 1+5x2 Standard form of the polynomial : 5x2+1

Q: 12. If x=-1 is a root of x + 4x? -x -4 =0, use synthetic division to factor the polynomial…

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Q: 14. If 2 +3 is a polynomial root, name another root of the polynomial, and explain how you know it…

A: Let's find.

Q: How  many roots does the polynomial have?

A: NOTE: Refresh your page if you can't see any equations. . to find the roots, take P=0

Q: 5) If the leading term of a polynomial is -2x18, what do you know about the end behavior? As x → 0…

A: We will find the end behavior of the polynomial when Leading term is given.

Q: By what polynomial of lowest degree must (x2 – 64)(x² + 5x – 24) be multiplied to make it a perfect…

A: Givem polynomial is (x2-64)(x2+5x-24)To find lowest degree multiplier to make it perfect square.

Q: Write the equation of a third degree polynomial in standard form (multiply out) with the given…

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Q: 5x+21x° -LX+Xナ4X+L

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Q: If a polynomial f(x) has a remainder of -9 when divided by a 3, what is f(3)?

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Q: I need help with polynomials. How quickly determine the number of roots a polynomial will have by…

A: Let suppose we have linear equation  x + 2 =0 Look at the leading term ,it has only one power , then…

Q: If x=9 is a solution to a polynomial equation, then (x-9) will be a factor a that polynomial

A: The given statement is true.

Q: Obtain the roots of the following equation using the method of double synthetic division:

A: Since the coefficient and constants are not integers, so we have to find one solution using the…

Q: A polynomial has one root that equals 4 +17i. Name one other root of this polynomial.

A: it one root of the polynomial. We need to find the other root.

Q: Suppose that a polynomial equation has the following six roots: -4, -2, 1 + iv2, 1 - iv2, 2, and 4.…

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Q: what could be a polynomial with a degree of 5 if its zeros are -2,1, and 4?

A: The given zeros are, –2, 1 and 4.

Q: Calculate the following equation by long division and also by synthetic division: (2x4 – 11x +7) ÷…

A: the solution of the given problem by long division and synthetic division is given below...

Q: 4. Is (x + 1) a factor of x*- 1?

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Q: (a) Factorise z6 + 1 over the real numbers.

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Q: how many polynomials are in this equation x^5-2x+x^9-9x^6

A: This is single polynomial of degree 9

Q: Solve the following polynomial equation. 8 - 27 = 0

A: 8z3 - 27 = 0 8z3 = 27

Q: If a fifth degree polynomial is divided by a third degree polynomial, what is the degree of the…

A: Let there be two polynomials fx=ax5+bx4+cx3+dx2+ex+f and gx=mx3+nx2+px+q where a≠0, m≠0.

Q: Give a polynomial equation with integer coefficients that have the following roots -1, 3, -6

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Q: 5. If the remainder dividing the polynomial P(x) = 2x³ + kx? + 7x +6 by x- 4 is 114, find the…

A: Quotient Remainder theorem  The answer after we divide one number by another. dividend ÷ divisor =…

Q: 2. Add one term to the polynomial expression 14x19 9x15 +11x* + 5x² + 3 to make it into a + 11x+ 5x?…

A: Consider the polynomial  14x19-9x15+11x4+5x2+3

Q: 17. How can you quickly determine the number of roots a polynomial will have by looking at the…

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Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.