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Factorize completely
2x^2+4x-6

Sagot :

msm555

Answer:

Solution given;

2x²+4x-6

2x²+6x-2x-6

2x(x+3)-2(x+3)

(x+3)(2x-2)

is your answer

Answer:

2(x + 3)(x - 1)

Step-by-step explanation:

Given

2x² + 4x - 6 ← factor out 2 from each term

= 2(x² + 2x - 3) ← factor the quadratic

Consider the factors of the constant term (- 3) which sum to give the coefficient of the x- term (+ 2)

The factors are + 3 and - 1 , since

3 × - 1 = - 3 and 3 - 1 = + 2 , then

x² + 2x - 3 = (x + 3)(x - 1) , so

2x² + 4x - 6 = 2(x + 3)(x - 1) ← in factored form

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