Question

The polynomial p(x) has factors of x-5 and x-8. Which must be correct ?

Answer 1

The polynomial p(x) with factors x-5 and x-8 is p(x) = x^2 - 13x + 40.

Step-by-step explanation:

The factors given, x-5 and x-8, indicate that the polynomial p(x) can be written as (x-5)(x-8). To find the polynomial, we need to multiply these factors using the distributive property.

(x-5)(x-8) = x(x-8) - 5(x-8) = x^2 - 8x - 5x + 40 = x^2 - 13x + 40

So, the correct polynomial is p(x) = x^2 - 13x + 40.

Answer 2

Find an answer to your question The polynomial p(x) has factors of x – 5 and x + 8. Which MUST be correct?

Step-by-step explanation:

If x – a is indeed a factor of p(x), then the remainder after division by x – a will be ... the polynomial (courtesy of the Remainder Theorem), but x – a is also a factor ... completed division: 2 2 5 0 7 ... x + 4 is a factor of 5x4 + 16x3 – 15x2 + 8x + 16.