Question

Simplify f(x) = ((4x^2)+7x-2)/(4x-1)
Using complete sentences, explain why f(1) = 3, f(0) = 2, and f(-1) = 1, yet f(1/4) is undefined. Be sure to show your work.

Answer 1

can you factorize the part 4x^2 + 7x - 2 ?

Answer 2

I'm not sure how to

Answer 3

find 2 numbers, if multiplied, the result will be 4*(-2) = -8, and if added, the result will be 7

Answer 4

8 and -1?

Answer 5

correct. next, can you find a and b from this?

Answer 6

(4x+8)(x-1)
8*-1=-1?

Answer 7

not the factors yet
can you find a and b from the drawing?

Answer 8

a*(-1) = -1
4*b=8

Answer 9

a=1
b=2