Question
Asked Nov 2, 2019

Given that f(x) = 4xˆ3 -24xˆ2 + 45x -25.

a) Factor f(x), given that 1 is a zero.

b) Solce f(x) = 0. Write your answer as integers or simplified fractions.

check_circleExpert Solution
Step 1

Since x=1 is a zero so (x-1) is a factor.

Use synthetic division to find the other factor.

Other factor is = 4x^2 -20x + 25

f(x) 4x3-24x2+45x-25
45
- 24
25
25
- 20
25
20
4
help_outline

Image Transcriptionclose

f(x) 4x3-24x2+45x-25 45 - 24 25 25 - 20 25 20 4

fullscreen
Step 2

Then we factor 4x^2 -20x + 25=0

Answe...

4x-20х+25
—4x?-10х-10х-+25
%3D2x(2х-5)-5(2х-5)
— (2х-5)(2х-5)
3 (2х-5)°
help_outline

Image Transcriptionclose

4x-20х+25 —4x?-10х-10х-+25 %3D2x(2х-5)-5(2х-5) — (2х-5)(2х-5) 3 (2х-5)°

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour*

See Solution
*Response times may vary by subject and question
Tagged in

Math

Algebra