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EastWind [94]
3 years ago
11

Factor the following quadratic equation 4x^2-8x+3

Mathematics
1 answer:
cupoosta [38]3 years ago
5 0

Answer:

(2x - 1)(2x - 3)

Step-by-step explanation:

1) Split the second term in 4x² - 8x + 3 into two terms.

{4x}^{2}  - 2x - 6x + 3

2) Factor out common terms in the first two terms, then in the last two terms.

2x(2x - 1) - 3(2x - 1)

3) Factor out the common term 2x-1.

(2x   -  1)(2x - 3)

<u>Therefor</u><u>,</u><u> </u><u>the</u><u> </u><u>answer</u><u> </u><u>is</u><u> </u><u>(</u><u>2x</u><u> </u><u>-</u><u> </u><u>1</u><u>)</u><u> </u><u>(</u><u>2x</u><u> </u><u>-</u><u> </u><u>3</u><u>)</u><u>.</u>

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