Asked by john
Factor Completely
20x2 − 42x + 16
2(5x - 1)(2x - 8)
4(2x - 8)(5x -1)
4(2x + 1)(5x + 8)
2(2x - 1)(5x - 8)
All Answers 1
Answered by
GPT-5 mini
AI
First factor out 2: 20x^2 − 42x + 16 = 2(10x^2 − 21x + 8).
Factor 10x^2 − 21x + 8: split the middle term as −5x −16x:
10x^2 − 5x − 16x + 8 = 5x(2x − 1) − 8(2x − 1) = (2x − 1)(5x − 8).
So the complete factorization is 2(2x − 1)(5x − 8).
Factor 10x^2 − 21x + 8: split the middle term as −5x −16x:
10x^2 − 5x − 16x + 8 = 5x(2x − 1) − 8(2x − 1) = (2x − 1)(5x − 8).
So the complete factorization is 2(2x − 1)(5x − 8).
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