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Mathematics
Iyana Bautista
28 April, 12:22
What is the factorization of 3x^2-8x+5
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Autumn Ritter
28 April, 14:15
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(x - 1) (3x - 5)
Step-by-step explanation:
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x-term.
product = 3 * 5 = 15 and sum = - 8
The factors are - 3 and - 5
use these factors to split the middle term
3x² - 3x - 5x + 5 (factor the first/second and third/fourth terms)
= 3x (x - 1) - 5 (x - 1) (take out the common factor (x - 1))
= (x - 1) (3x - 5)
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