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.
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)