Find the zeros of the function algebraically. f(x) = 4xª – 25x² Step 1 To find the zeros, set the function equal to zero. 0 - 4x4 – 25x2 Step 2 Factor out the monomial expression. 0 - x*(4 -25 Step 3 Set each factor equal to zero to solve for x. First, set the monomial factor equal to zero and solve. (Enter your answers as a comma-separated list.) - 0 = x - 0 Next, set the binomial factor equal to zero and solve. (4x2 - 25) = 0 = 25 = 5 _ 5 (Enter vour answers as a comma-separated list.)

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter8: Introduction To Functions
Section8.8: Linear And Quadratic Functions
Problem 41WE
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Find the zeros of the function algebraically.
f(x) = 4x4 – 25x2
Step 1
To find the zeros, set the function equal to zero.
0 = 4x4 - 25x2
Step 2
Factor out the monomial expression.
0 = x2(4
|- 23)
Step 3
Set each factor equal to zero to solve for x. First, set the monomial factor equal to zero and solve. (Enter your
answers as a comma-separated list.)
- 0 = x
X =0
Next, set the binomial factor equal to zero and solve.
(4 x2
- 25) = 0 =
4
= 25 =
| 0. -
X =0.
(Enter your answers as a comma-separated list.)
2
Transcribed Image Text:Find the zeros of the function algebraically. f(x) = 4x4 – 25x2 Step 1 To find the zeros, set the function equal to zero. 0 = 4x4 - 25x2 Step 2 Factor out the monomial expression. 0 = x2(4 |- 23) Step 3 Set each factor equal to zero to solve for x. First, set the monomial factor equal to zero and solve. (Enter your answers as a comma-separated list.) - 0 = x X =0 Next, set the binomial factor equal to zero and solve. (4 x2 - 25) = 0 = 4 = 25 = | 0. - X =0. (Enter your answers as a comma-separated list.) 2
Therefore, the zeros of the function are the following. (Enter your answers as a comma-separated list.)
5
x =0.
2
Transcribed Image Text:Therefore, the zeros of the function are the following. (Enter your answers as a comma-separated list.) 5 x =0. 2
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