Question

2 Points

Answer 1

B. (x-5) is a factor.

Step-by-step explanation:

To find out the relationship among the factor and an expression, we have to factorise it as,

2x² - 7x - 15

Here, sum = coeff. of x = -7

Product = constant × coeff of x² = -15 × 2 = -30

Now we have to find 2 numbers, which satisfies the above 2 conditions are -10 and 3.

-10 +3 = -7

-10× 3 = -30

2x² - 7x - 15

= 2x²- 10x + 3x - 15

Taking common terms as,

= 2x(x-5) +3(x - 5)

= (2x+3) (x-5)

So the expression is factorized and (x-5) is one of the factors of the expression.