Find the requested function. 1) Find the polynomial function with leading coefficient 5; degree 3; and -4, 1, and 3 as zeros. B) f(x) = (x + 4)(x - 1)(x-3) D) f(x) = (x-4)(x + 1)(x+3) A) f(x) = 5(x-4)(x + 1)(x + 3) f(x) = 5(x+4)(x - 1)(x-3)

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
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Chapter4: Polynomial And Rational Functions
Section4.5: Zeros Of Polynomial Functions
Problem 80E
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Find the requested function.
1) Find the polynomial function with leading coefficient 5; degree 3; and -4, 1, and 3 as zeros.
B) f(x) = (x+4)(x - 1)(x-3)
D) f(x) = (x-4)(x + 1)(x+3)
A) f(x) = 5(x-4)(x + 1)(x + 3)
f(x) = 5(x+4)(x - 1)(x - 3)
2) Find the polynomial function with leading coefficient -5; degree 3; and -2,5
1
A) f(x) = -5(x + 2)(5x - 1)(5x - 7)
C) f(x) = -1(x + 2)(5x - 1)(5x-7)
A) f(x) = 4x4 - 17x³ + x² -12
C) f(x) = 4x4 - 17x3+ 5x² +15x
200-
+++++++
7
5
(x+2)(5x − 1)(5x + 7)
B) f(x) =
3) Find the polynomial function with leading coefficient 4; degree 4; and -4, -1, 0, and
4
/100-
y
and
as zeros.
1
D) f(x) = -(x + 2)(5x - 1)(5x-7)
Use the graph to guess possible linear factors of f(x). Then completely factor f(x) with the aid of synthetic
4) f(x) = 7x3 - 39x2 - 40x + 132
B) f(x) = 4x4 + 11x³-8x²-16x
f(x) = 4x4 + 17x3 + x² -12x
as zeros.
Transcribed Image Text:Find the requested function. 1) Find the polynomial function with leading coefficient 5; degree 3; and -4, 1, and 3 as zeros. B) f(x) = (x+4)(x - 1)(x-3) D) f(x) = (x-4)(x + 1)(x+3) A) f(x) = 5(x-4)(x + 1)(x + 3) f(x) = 5(x+4)(x - 1)(x - 3) 2) Find the polynomial function with leading coefficient -5; degree 3; and -2,5 1 A) f(x) = -5(x + 2)(5x - 1)(5x - 7) C) f(x) = -1(x + 2)(5x - 1)(5x-7) A) f(x) = 4x4 - 17x³ + x² -12 C) f(x) = 4x4 - 17x3+ 5x² +15x 200- +++++++ 7 5 (x+2)(5x − 1)(5x + 7) B) f(x) = 3) Find the polynomial function with leading coefficient 4; degree 4; and -4, -1, 0, and 4 /100- y and as zeros. 1 D) f(x) = -(x + 2)(5x - 1)(5x-7) Use the graph to guess possible linear factors of f(x). Then completely factor f(x) with the aid of synthetic 4) f(x) = 7x3 - 39x2 - 40x + 132 B) f(x) = 4x4 + 11x³-8x²-16x f(x) = 4x4 + 17x3 + x² -12x as zeros.
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