Question

Wen is factoring the polynomial, which has four terms. 6x3 – 12x2 + 7x – 14 6x2 (x – 2) + 7(x – 2) which is the completely factored form of his polynomial? (6x2 + 7) (x –2) (6x2 – 2) (x +7) (6x2 + 2) (x – 7) (6x2 – 7) (x + 2)

Answer 1

The completely factored form of his polynomial 6x³ - 12x² + 7x - 14 Wen factored is (x-2) ( 6x² + 7)

How to factorise a polynomial

6x³ - 12x² + 7x - 14

= 6x² (x - 2) + 7(x - 2)

• Factor out the term (x-2) form each term

6x²(x – 2) + 7(x – 2)

= (x-2) ( 6x² + 7)

Therefore, the completely factored form of his polynomial is (x-2) ( 6x² + 7)

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