Question

Rewrite the equation by completing the square.

f(x)=x^2+x-30
f(x)=_(x+_)^2+_
pls helppppp

Answer 1

f(x)= (x-5)(x+6)

Explanation:

First, we find the factors of -30 that add up to +1

We can use 6 and -5

6+(-5)=1

f(x)= x^2+6x - 5x-30

then, we do group factorization

f(x)= x(x+6)- 5(x+6)

f(x)= (x-5)(x+6)

i hope this helps <3