Question

Rewrite the quadratic function in intercept or factored form
y=4x^2-19x-5

Answer 1

y = (x - 5)(4x + 1)

Explanation:

The given function y = 4x^2 -19x - 5

Here we have to find the AC method.

Identify the value of A, B and C

A = 4 , B = -19 and C = -5

AC = 4*-5 = -20

Now find the facotr -20 such that when we add those two factors, we have to get the value of B. That is B = -19

Factors are -20 and 1

1 * -20 = -20

1 + (-20) = -19

y = 4x^2 -19x - 5

This can be written using the factors

y = 4x^2 - 20x + 1x - 5

Now let's factor by group the first two terms, then second two terms.

y = 4x (x - 5) + 1(x - 5)

y = (x - 5)(4x + 1)

That's the answer.

Hope this will helpful.

Thank you.