Given the polynomial function y2x2x29 a Find xintercepts wri

Given the polynomial function y=-2x^2(x^2-9)

(a) Find x-intercepts (write your answer from the smallest to the largest number)

(b) Find y-intercept

Solution

Answer:

Given the polynomial function y=-2x²(x²-9)

( a ) To find the x-intercept, set y = 0 and solve for x.

That is we set -2x²(x²-9) = 0

                        x²(x²-9) = 0

                    x = 0 0r (x²-9) = 0

                     x = 0 or x = -3 or x = 3.

Therefore the X - intercepts are the points ( 0 , 0 ) , ( - 3 , 0 ) and ( 3 , 0 )

( a ) To find the Y-intercept, set x = 0 and solve for y .

That is we set x = 0 then y = 0

Therefore the Y - intercepts are the points ( 0 , 0 )