6- Determine the equation of the polynomial function that has rootsof x= 1 and x= -2 and passing through the point (1, 6). Leave yourfinal answer in factored form.7- Provide your answer for the following questions in both quotientform and in the division statement.a- (6x5 -8xª +3x³ +x+5) = (x² -2x+1)b- (-4x²+2x+5x+2) = (x²-2x+1)€1458- If (x-7) and (x-4) are factors of ax³ + bx²-5x +84, determine thevalue of a and b.x le jotast s9- For the function x³+4x²+ax -4, the remainder when divided by(x+2) is twice the remainder when divided by (x-2). Determine thevalue of a.(

Answered: Image /qna-images/answer/a2e7da7c-a1cc-4bd4-a07d-09c7a8c9f049.jpg

Answered: 6- Determine the equation of the…

6- Determine the equation of the polynomial function that has roots of x= 1 and x= -2 and passing through the point (1, 6). Leave your final answer in factored form. (

Elementary Algebra

17th Edition

ISBN:9780998625713

Author:Lynn Marecek, MaryAnne Anthony-Smith

Publisher:Lynn Marecek, MaryAnne Anthony-Smith

Chapter7: Factoring

Section7.3: Factor Quadratic Trinomials With Leading Coefficient Other Than 1

Problem 213E: What are the questions, in order, that you ask yourself as you start to factor a polynomial? What do...

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Question

6- Determine the equation of the polynomial function that has roots
of x= 1 and x= -2 and passing through the point (1, 6). Leave your
final answer in factored form.
7- Provide your answer for the following questions in both quotient
form and in the division statement.
a- (6x5 -8xª +3x³ +x+5) = (x² -2x+1)
b- (-4x²+2x+5x+2) = (x²-2x+1)
€145
8- If (x-7) and (x-4) are factors of ax³ + bx²-5x +84, determine the
value of a and b.
x le jotast s
9- For the function x³+4x²+ax -4, the remainder when divided by
(x+2) is twice the remainder when divided by (x-2). Determine the
value of a.(

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