What are the x-intercepts of the graph of the function f(x) = x2 + 5x − 36?

Factor x^2 + 5x -36

Find two numbers their product will be -36 when you add those two numbers together your sum will be 5

-4(9) = -36
-4 + 9 = 5

So

(X-4)(x+9)

X-4= 0
X= 4

X+9=0
X= -9

The x-intercept are (4,0) and (-9,0)

Hope this helps!

A. is the answer in this question

Answer to your question: a. the fundamental theorem of algebra tells you that the equation will have two complex roots since the degree of the polynomial is 2. the roots are ​ x=1±i7√2 .number of roots=degree of polynomialhere, degree of polynomial is 2 so number of roots will be 2.hope it *_*