asked 139k views
1 vote
choose whole numbers to fill in the blanks in the following polynomial function: h(x)=-3x^2(5x+_)(x-_)

asked
User Ugoren
by
7.6k points

1 Answer

6 votes

We choose the whole numbers as 1 and 2 to complete the function h(x) = x^2 - 3*x + 2. Then we find the zeros by setting the function to zero and solving the equation, which yields x=2 and x=1 as the zeros of the function. These zeros also represent where the function intersects the x-axis.

To solve the first part of the problem, we need to choose whole numbers that can be placed in the polynomial function. For instance, let's propose the function h(x) as h(x) = x^2 - 3*x + 2.

To find the zeros or roots of the function h(x), we set the function equal to zero and solve for x. In this case, our equation would be x^2 - 3*x + 2 = 0. Factoring this quadratic equation yields (x-2)(x-1) = 0. Therefore, the zeros (or roots) of the function h(x) are x=2 and x=1.

This means that our function will intersect the x-axis at the points (1,0) and (2,0). These are the exact zeros of the polynomial function.

answered
User Piotr Nowicki
by
8.2k points

No related questions found

Welcome to Qamnty — a place to ask, share, and grow together. Join our community and get real answers from real people.