Question

Write a polynomial, p(x), in factored form given the following requirements: degree: 3, leading coefficient: 1, x-intercepts at (10,0) and (-1,0), y-intercept at (0,-40)?

Answer 1

The polynomial, p(x), in factored form is (x-10)(x+1)x.

Step-by-step explanation:

The polynomial, p(x), in factored form can be determined by using the given x-intercepts and the y-intercept.

Since the x-intercepts are (10,0) and (-1,0), we know that the factors of the polynomial are (x-10) and (x+1).

Since the y-intercept is (0,-40), we know that the factor of the polynomial is (x-0), which simplifies to x.

Combining these factors, the polynomial in factored form is p(x) = (x-10)(x+1)x.