Question

Which of the following represents the factorization of the trinomial below? x²+7x -30

OA (x-2)(x+15)
O B. (x-3)(x + 10)
C. (x − 3)(x - 10)
D. (x-2)(x - 15)​

Answer 1

the correct option is (B) (x-3)(x+10).

Explanation:

To factorize the trinomial x²+7x-30, we need to find two binomials whose product is equal to this trinomial. These binomials will have the form (x+a) and (x+b), where a and b are constants.

To find a and b, we need to look for two numbers whose product is -30 and whose sum is 7. One pair of such numbers is 10 and -3.

Therefore, we can factorize the trinomial as follows:

x²+7x-30 = (x+10)(x-3)