Question

Binomial (x – 6) and trinomial (–2x2 + x + 9) are the factors of which of the following polynomials?

Answer 1

The polynomial is -2x³ + 13x² + 3x - 54.

Explanation:

The binomial expression is: (x - 6)

The trinomial expression is: (-2x² + x + 9)

Multiply the two expressions to determine the resulting polynomial as follows:

`(x-6)(-2x^(2)+x+9)=x(-2x^(2)+x+9)-6(-2x^(2)+x+9)`

`=-2x^(3)+x^(2)+9x+12x^(2)-6x-54\\=-2x^(3)+13x^(2)+3x-54`

Thus, the polynomial is -2x³ + 13x² + 3x - 54.