If the zeros for a polynomial are 5/4 with multiplicity 4, -6 with multiplicity 1 and -3/7 with multiplicity 5. Write the polynomial function in factored form 4 15 MA L

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 18RE
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Question

Create a tabular box for the problem f(x)=(3x+1)^7(x+8)^2(x-10) just like the one shown in the example.

If the zeros for a polynomial are 5/4 with multiplicity 4, -6 with multiplicity 1 and -3/7
with multiplicity 5. Write the polynomial function in factored form
a) g(x) = (5x-4) (X-6)(3x+7) 5
6 g(x)= (4x-5)(x+6) (²x+3) 5
() gux) = (4x+5)*(x+6) (7x-3) 5
Zerus
{ → x- § → (4x-5)"
->
en
x+6
1/2 + x + ² (7x + 3) ³
+
X
8x² -33x -35
(2)
31
8x²³-33²-35x
D
ST
4 32x² -132A
4-
Transcribed Image Text:If the zeros for a polynomial are 5/4 with multiplicity 4, -6 with multiplicity 1 and -3/7 with multiplicity 5. Write the polynomial function in factored form a) g(x) = (5x-4) (X-6)(3x+7) 5 6 g(x)= (4x-5)(x+6) (²x+3) 5 () gux) = (4x+5)*(x+6) (7x-3) 5 Zerus { → x- § → (4x-5)" -> en x+6 1/2 + x + ² (7x + 3) ³ + X 8x² -33x -35 (2) 31 8x²³-33²-35x D ST 4 32x² -132A 4-
If the zeros for a polynomial are -1/3 with multiplicity 7, -8 with multiplicity 2 and 10 with multiplicity 1. Write the
polynomial function in factored form.
zeros
-1/3
DO
10
factors with multiplicity
(3x+1)^7
(x+8)^2
(x-10)
f(x)=(3x+1)^7(x+8)^2 (x-10)
work
x+1/3 multiply by 3
3(x+1/3) =3x+1
x-(-8) is x+8
x-(10) is x-10
Sunnianarmı
Transcribed Image Text:If the zeros for a polynomial are -1/3 with multiplicity 7, -8 with multiplicity 2 and 10 with multiplicity 1. Write the polynomial function in factored form. zeros -1/3 DO 10 factors with multiplicity (3x+1)^7 (x+8)^2 (x-10) f(x)=(3x+1)^7(x+8)^2 (x-10) work x+1/3 multiply by 3 3(x+1/3) =3x+1 x-(-8) is x+8 x-(10) is x-10 Sunnianarmı
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