Can someone please help me answer this? 2x2 + x -21

Mathematics

1 answer:

Readme [11.4K]3 years ago

6 0

Answer:

(x - 3)(2x + 7)

Step-by-step explanation:

Assuming you require the expression factorised.

Given

2x² + x - 21

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term

product = 2 × - 21 = - 42 and sum = + 1

The factors are - 6 and + 7

Use these factors to split the x- term

2x² - 6x + 7x - 21 ( factor the first/second and third/fourth terms )

= 2x( x - 3) + 7(x - 3) ← factor out (x - 3) from each term

= (x - 3)(2x + 7) ← in factored form

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