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Mathematics
Josie
20 April, 15:26
Factor trinomial by grouping : 10x^2-9x+2
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Ariel Ferguson
20 April, 16:10
0
(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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