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What is the factorization of 3x2 – 8x + 5?

(3x – 1)(x + 5)
(3x + 5)(x – 1)
(3x – 1)(x – 5)
(3x – 5)(x – 1)

User LouieC
by
5.4k points

2 Answers

3 votes

Answer:

D

Explanation:

3x²-8x+5

=3x²-3x-5x+5

=3x(x-1)-5(x-1)

=(x-1)(3x-5)

User Sneh
by
5.2k points
1 vote

Answer:the correct option is

(3x – 5)(x – 1)

Explanation:

The given quadratic equation is expressed as

3x2 – 8x + 5

The first step is to find two numbers such that their sum or difference is -8x and their product is 15x^2. The two numbers are - 3x and - 5x. Therefore,

3x2 - 3x - 5x + 5 = 0

The next step is to factorize

3x(x - 1) - 5(x - 1) = 0

x - 1 = 0 or 3x - 5 = 0

Therefore, the factorization of 3x2 – 8x + 5 is

(3x - 5)(x - 1)

User Szegheo
by
5.9k points