Question

What are the x– and y–intercepts of the graph of y = x2 + 3x – 10?

x–intercepts: (–2, 0) and (5, 0)
y–intercept: (0, 10)

x–intercepts: (–2, 0) and (–5, 0)
y–intercept: (0, 10)

x–intercepts: (–2, 0) and (5, 0)
y–intercept: (0, –10)

x–intercepts: (2, 0) and (–5, 0)
y–intercept: (0, –10)

Answer 1

y = x2 + 3x – 10?
for y intercept, put x=0
y = 0 + 0 - 10
y = -10 <------- y intercept

for x intercept, put y=0
0 = x^2 + 3x - 10
0 = x^2 + 5x - 2x - 10
0 = x(x + 5) -2(x + 5)
0 = (x - 2)(x + 5)
so, x = 2 or x = -5


x–intercepts: (2, 0) and (–5, 0)
y–intercept: (0, –10)