Question

Identify the factored form of each polynomial. 4r + 11x + 6 4x + 10x + 6 11. 4r + 14x +6 (4x+3)(x+2) :: (x+3)(4x + 2) :: (2x+3)(2x + 2)​

Answer 1

1) 4x^(2)+11x+6 Factored--> (4x+3) (x+2)

2) 4x^(2)+10x+6 Factored--> (2x+3)(2x+2)

3) 4x^(2)+14x+6 Factored--> (x+3)(4x+2)

Explanation:

Factor: 4x^(2)+11x+6 (step by step)

1) Split the second term (11x) into two terms

4x^2 + 8x + 3x + 6

2)Factor out common terms in the first two terms, then in the last two terms.

4x(x + 2) + 3(x + 2)

3) Factor out the common term x + 2

(x + 2) (4x + 3)

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