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what is the factored form of -40+2×^2-2x​

Sagot :

Answer:

2(x - 5)(x + 4)

Step-by-step explanation:

Given

- 40 + 2x² - 2x , that is

2x² - 2x - 40 ← factor out 2 from each term

= 2(x² - x - 20) ← factorise the quadratic

Consider the factors of the constant term (- 20) which sum to give the coefficient of the x- term (- 1)

The factors are - 5 and + 4 , since

- 5 × 4 = - 20 and - 5 + 4 = - 1 , then

x² - x - 20 = (x - 5)(x + 4) and

2x² - 2x - 40 = 2(x - 5)(x + 4) ← in factored form

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