QuestionAugust 26, 2025

3. Completely factor the expression: 1. 2x^2-16x+10= square

3. Completely factor the expression: 1. 2x^2-16x+10= square
3. Completely factor the expression:
1. 2x^2-16x+10= square

Solution
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Answer

2(x - 5)(x - 3) Explanation 1. Factor out the greatest common factor The greatest common factor of 2x^2 - 16x + 10 is 2. Factor it out: 2(x^2 - 8x + 5). 2. Factor the quadratic expression Find two numbers that multiply to 5 and add to -8. These numbers are -5 and -3. So, x^2 - 8x + 5 = (x - 5)(x - 3). 3. Combine the factors Multiply the factored terms by the GCF: 2(x - 5)(x - 3).

Explanation

1. Factor out the greatest common factor<br /> The greatest common factor of $2x^2 - 16x + 10$ is 2. Factor it out: $2(x^2 - 8x + 5)$.<br />2. Factor the quadratic expression<br /> Find two numbers that multiply to 5 and add to -8. These numbers are -5 and -3. So, $x^2 - 8x + 5 = (x - 5)(x - 3)$.<br />3. Combine the factors<br /> Multiply the factored terms by the GCF: $2(x - 5)(x - 3)$.
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