Question

What are the x-intercept(s) of the graph of y + 10 = x2 + 3x?

A. (−2, 0) and (−5, 0)
B. (2, 0) and (5, 0)
C. (−2, 0) and (5, 0)
D. (2, 0) and (−5, 0)

Answer 1

to find x-intercept set y=0 and solve for x
to find y-intercept set x=0 and solve for y

Answer 2

d

Answer 3

To find x-intercept put y = 0
y + 10 = x^2 + 3x
0 + 10 = x^2 + 3x
x^2 + 3x - 10 = 0
x^2 + 5x - 2x - 10 =0
x(x + 5) - 2(x + 5) = 0
(x + 5)(x - 2) = 0
x + 5 = 0 , x - 2 = 0
x = -5 , x = 2
therefore, (-5, 0)(2, 0)
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