Question

Rewrite the quadratic function in intercept or factored form f(t)=20t^2+14t-12

Answer 1

Find the Greatest Common Factor (GCF)

GCF = 2

Factor out the GCF (Write the GCF first. Then, in parentheses, divide each term by the GCF.)

2(20t^2/2 + 14t/2 - 12/2)

Simplify each term in parenthesis

2(10t^2 + 7t - 6)

Split the second term in 10t^2 + 7t - 6 into two terms

2(10t^2 + 12t - 5t - 6)

Factor out common terms in the first two terms, then in the last two terms

2(2t(5t + 6) - (5t + 6))

Factor out the common term 5t + 6

2(5t + 6)(2t - 1)

Answer 2

Answer:

t

=

1

2

,

−

6

5

Step-by-step explanation:

I hope this helped!