Question

Select the correct answer. For which value of b can the expression x2 + bx + 18 be factored? A. 17 B. -19 C. 3 D. 7

Answer 1

19

Explanation:

Given the polynomial :

x2 + bx + 18 ;

The polynomial Given is if degree 2 ;

The equation can be solved using the quadratic function degree 2 to check which of the options given can be factored :

Here,

a = 1 ; b =? c = 18

Checking each option :

If b = 17

x2 + 17x + 18 = 0

x2 + 17x + x + 18 = 0

(x + 17)(x + 1)

If b = - 19

(x-1)(x-18)=0