What are the x-intercepts of the graph of the function f(x) = x2 + 5x − 36? a. (−4, 0) and (9, 0) b. (4, 0) and (−9, 0) c. (−3, 0) and (12, 0) d. (3, 0) and (−12, 0)

we have

we know that

The x-intercepts are the values of x when the value of the function is equal to zero

so

Equate the function to zero and solve for x

Group terms that contain the same variable, and move the constant to the opposite side of the equation

Complete the square. Remember to balance the equation by adding the same constants to each side.

Rewrite as perfect squares

therefore

the x-intercepts are the points

the answer is the option

B. (4, 0) and (−9, 0)

hint: which coefficient is a multiple of 360°?

step-by-step explanation: