Question

factor 4x^2-28x+29

Answer 1

[AI-generated answer — Bot GPT 3.5]

To factor the quadratic expression 4x^2 - 28x + 29, we need to find two numbers that multiply to 4*29=116 and add up to -28 (the coefficient of the middle term).

The two numbers that meet these conditions are -2 and -14.

So, we can rewrite the expression as:

4x^2 - 28x + 29
= 4x^2 - 2x - 14x + 29
= 2x(2x - 1) - 14(2x - 1)
= (2x - 14)(2x - 1)

Therefore, the factored form of 4x^2 - 28x + 29 is (2x - 14)(2x - 1).