Question

question
factor the expression completely.
28x² + 20
answer attempt 1 out of 2
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Explanation:

Step1: Find the GCF of 28 and 20

The factors of 28 are \(1, 2, 4, 7, 14, 28\) and the factors of 20 are \(1, 2, 4, 5, 10, 20\). The greatest common factor (GCF) is 4.

Step2: Factor out the GCF

Factor out 4 from the expression \(28x^{2}+20\). We get \(4(7x^{2} + 5)\). Since \(7x^{2}+5\) cannot be factored further (it has no real - valued linear factors as the discriminant of \(7x^{2}+5 = 0\) is \(0 - 4\times7\times5=- 140<0\)), the completely factored form is \(4(7x^{2}+5)\).

Answer:

\(4(7x^{2}+5)\)