Use synthetic division to factor the following polynomials completely by given factors or roots and find all the zeros; when you reach quadratic equation, performance regular factoring or quadratic formula.

The factors are (2x + 1) , (3x - 1) and (x + 1)

The zeroes are -1/2 , 1/3 , -1

Step-by-step explanation:

(6x³ + 7x² + 0 - 1) ÷ (2x + 1) =

3x² + (4x² + 0 - 1) ÷ (2x + 1) =

3x² + 2x + (-2x - 1) ÷ (2x + 1) =

3x² + 2x - 1

By using factorization

3x² + 2x - 1 = (3x - 1)(x + 1)

The factors are (2x + 1) , (3x - 1) and (x + 1)

To find the zeroes

2x + 1 = 0 ⇒ 2x = -1 ⇒ x = -1/2

3x - 1 = 0 ⇒ 3x = 1 ⇒ x = 1/3

x + 1 = 0 ⇒ x = -1

The zeroes of the polynomial are -1/2 , 1/3 , -1

it is contrapositive

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