Question

Binomial (x - 6) and trinomial (-2x2 + x + 9) are the factors of which of the

following polynomials?
2x^3+12x-3x+54
-2x^2+15
-2x^3+13x^2+3x-54
O 2x^2-3

Answer 1

Option (3)

Explanation:

If binomial (x - 6) and trinomial (-2x² + x + 9) are the factors of a polynomial then their multiplication will be equal to the polynomial.

(x - 6)(-2x² + x + 9) = x(-2x² + x + 9) - 6(-2x² + x + 9)

= -2x³ + x² + 9x + 12x² - 6x - 54

= -2x³ + 13x² + 3x - 54

Therefore, Option (3) will be the correct option.