Factorise: 2x² + 2x - 364.

A quadratic eqaution is in the the form of ax² + bx + c = 0, where a is not equal to 0.

Answer: The factorization of 2x² + 2x - 364 is (x + 14) (x - 13).

Let's solve it step by step.

Explanation:

Factorization is the method to break the arithmetic algebraic equation in the product of its factors.

So, look at the factorization of 2x² + 2x - 36.

2x² + 2x - 364 = 2 ( x²  + x - 182) 

= x²  + x - 182 

As we know that 2, 7 and 13 are the factors of 182, we will break the middle term.

=  x²  + 14x - 13x - 182 

=  x (x + 14) - 13 (x + 14) 

= (x + 14) (x - 13)

Thus, factorization of 2x² + 2x - 364 is (x + 14) (x - 13).