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.
