Factor and simplify 2x^2+5x+3/2x^2-x-6 A x+1/x-2 B It is already fully simplified C x^2+5x+3 D 5x+3/-x -6

yongenelowk

yongenelowk

Answered question

2022-08-03

Factor and simplify 2x^2+5x+3/2x^2-x-6
A x+1/x-2
B It is already fully simplified
C x^2+5x+3
D 5x+3/-x -6

Answer & Explanation

Avah Leonard

Avah Leonard

Beginner2022-08-04Added 21 answers

(2x^2 + 5x + 3) = (2x^2 + 2x + 3x + 3) = ( 2x(x + 1) + 3(x + 1) ) = (x+1)(2x + 3)
(2x^2 - x - 6) = (2x^2 - 4x + 3x - 6) = ( 2x(x - 2) + 3(x - 2) ) = (2x + 3)(x - 2)
(2x^2 + 5x + 3) / (2x^2 - x - 6) = (x+1)(2x + 3) / (2x + 3)(x - 2)
= (x + 1) / (x - 2)
Answer: A

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