What is the x intercept of f (x) = x^2+7x+2? And how do you solve it?

Since that is a quadratic equation, it will have 2 "x" intercepts.

x^2+7x+2

a = 1 b = 7 c = 2

You would solve for "x" using the quadratic formula.

x = [ - b + - sq root (b ^ 2 - 4 a c) ] / 2 a

x = [ - 7 + - sq root (7^2 - 4*1*2) ] / 2 * 1

x = [ - 7 + - sq root (49 - 8) ] / 2

x1 = [-7 + 6.4031242] / 2

x1 = -.29844

x2 = [-7 - 6.4031242] / 2

x2 = - 6.7016