Let a(z) =-12z- 2z-9z, and b(z) = 3z + z +1. %3D %3D When dividing a by b, we can find the unique quotient polynomial q- 'remainder polynomial r that satisfy the following equation: a(z) = q(x) + r(z) b(z)' %3D b(x) where the degree of r(z) is less than the degree of b(z). TUS What is the quotient, q(z)? q(z) = What is the remainder, r(z)?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 50E
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Divide polynomials with remainders
Let a(z) = -12z – 2z³ – 9z, and b(æ)= 3x* +z² + 1.
When dividing a by b, we can find the unique quotient polynomial q-'remainder polynomial r that satisfy
the following equation:
a(z)
r(z)
= q(z) +
b(z)'
(z)q
where the degree of r(x) is less than the degree of b(z).
TUS
What is the quotient, q(z)?
q(z) =|
What is the remainder, r(z)?
r(z) =|
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Transcribed Image Text:Divide polynomials with remainders Let a(z) = -12z – 2z³ – 9z, and b(æ)= 3x* +z² + 1. When dividing a by b, we can find the unique quotient polynomial q-'remainder polynomial r that satisfy the following equation: a(z) r(z) = q(z) + b(z)' (z)q where the degree of r(x) is less than the degree of b(z). TUS What is the quotient, q(z)? q(z) =| What is the remainder, r(z)? r(z) =| Stuck? Review related articles/videos or use a hint. Report a problem 3 of 4 e O0 Check About ovide a free, world-class News Help center Math Pre-K- 8th grade on to anyone, anywhere. Impact Support community Math: Get ready courses MacBook Pro く ※ # $ * 一 ) 3 4 6. 7 8. { E T Y U P D F G JK L
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