Question

# Factor each polynomial. If a polynomial cannot be factored, write prime. Factor out the greatest common factor as necessary: 3x^{2}+4x-7

Polynomial factorization
Factor each polynomial. If a polynomial cannot be factored, write prime. Factor out the greatest common factor as necessary:
$$3x^{2}+4x-7$$

2021-05-14
Step 1
Given:
$$3x^{2}+4x-7$$
Step 2
$$3x^{2}+4x-7$$
$$=3x^{2}-3x+7x-7$$
=3x(x-1)+7(x-1)
=(3x+7)(x-1)