Question

If x - 4 is a factor of x^2 + bx - 24, what is the value of b?

Answer 1

To find the value of b, substitute x = 4 into the equation, and solve for b.

Step-by-step explanation:

To find the value of b, we need to determine the constant term in the quadratic equation x^2 + bx - 24 when x - 4 is a factor.

When x - 4 is a factor, it means that x = 4 is a solution to the equation.

Substituting x = 4 into the equation, we get:

4^2 + 4b - 24 = 0

From here, we can simplify the equation and solve for b.

Answer 2

b=2

Step-by-step explanation:

if x-4 is a factor,then, x-4=0 hence, x=4

sub x=4 in the equation and equate it to zero -from factor theorem

4^2 +4b -24=0

16+4b -24=0

4b=24-16

4b=8

b=8/4=2