Factor trinomial by grouping : 10x^2-9x+2

Mathematics

1 answer:

Angelina_Jolie [31]4 years ago

8 0

Answer:

(2x - 1)(5x - 2)

Step-by-step explanation:

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

product = 10 × 2 = 20 and sum = - 9

The factors are - 5 and - 4

Split the middle term using these factors

10x² - 5x - 4x + 2 (factor the first/second and third/fourth terms by grouping )

= 5x(2x - 1) - 2(2x - 1) ← factor out (2x - 1)

= (2x - 1)(5x - 2)

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