Question

12. Write the polynomial in standard form if the factors are:
(x-3)(x + 2)(3x - 1)

Answer 1

To write a polynomial in standard form using given factors, multiply the factors together. The polynomial in standard form is 3x^3 - x^2 - 13x + 6.

Step-by-step explanation:

To write a polynomial in standard form using the given factors, we need to multiply the factors together. So the polynomial is:

(x-3)(x + 2)(3x - 1) = (x^2 - x - 6)(3x - 1)

Expanding this, we get:

3x^3 - x^2 - 13x + 6

Therefore, the polynomial in standard form is 3x^3 - x^2 - 13x + 6.

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