Question

Write a polynomial of least degree with roots 0 and 8.

Write your answer using the variable x and in standard form with a leading coefficient of 1

Answer 1

The polynomial of least degree with roots 0 and 8 is x(x-8)=0. This can be written in standard form as x2 - 8x = 0.

Answer 2

x² - 8x

Explanation:

The least degree polynomial with two roots has to be a quadratic polynomial.

Since the roots are 0 and 8, the factors are, (x - 0)(x - 8) = x² - 8x

Cheers