Question

What are the x- and y-intercepts of the graph of y = x^2 + 3x - 10?


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

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

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

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

Answer 1

for x intercept put y=0 in the given equation and get the answer and for y intercept put the x=0 in the given equation and get the answer

Answer 2

for X -intercept put y=0 then equation becomes
x^2+3x-10=0
x^2 -2x +5x -10=0
x(x-2) + 5(x-2)=0
(x+5)(x-2)=0
either
x+5=0 or x-2 =0
x=-5 or x=2
this is yur x intercept

Answer 3

and for y intercept put x =0
then equation becomes
y=-10 this is yur y intercept

Answer 4

ok its D! thank you:)

Answer 5

most welcome my dear @kellyconnelly