What is the factorization of 3x^2-8x+5
1 answer:
Answer:
(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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