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kumpel [21]
3 years ago
8

What is the factorization of 3x^2-8x+5

Mathematics
1 answer:
VARVARA [1.3K]3 years ago
4 0

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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Plug in y=3x+2 into the y in the second equation.

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What is <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7Bx%2B2%7D%20%2B%5Cfrac%7B6%7D%7Bx-5%7D%20%20" id="TexFormula1"
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Usually, the "simplified" form has the polynomial multiplied out (as immediately above), rather than factored. If you want it factored, you can remove a factor of 7 from the terms of the numerator to get 7(x+1)/((x+2)(x-5)).
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