Question

Select the correct answer from each drop-down menu.

The graph of the function y=x²(x²-6x+9) has zeros of ____ , so the function has ___ distinct real zeros and ___ complex zeros.

drop menu 1 answers.
1) 0 and -3
2) -3, 0, and 3
3) 0 and 3
4) -3 and 3

drop menu 2 answers.
1) no.
2) two.
3) three.
4) four.

drop menu 3 answers.
1) no.
2) two
3) three
4) four ​

Answer 1

Answer: 1), 2), and 1)

Explanation:

y=x²(x²-6x+9)

y = 0(0^2 - 6(0) + 9)

y = 0(0 + 9)

y = 0(0)

y = 0

The function has two distinct real zeros and no complex, (i.e. imaginary or unable to be see on a graph) zeros.