Factor 5v^2-30v+40

Problem

5*v2−30*v+40

Solution

1. Identify the greatest common factor (GCF) for all three terms in the expression.

2. Factor out the GCF, which is 5 from the expression.

5*(v2−6*v+8)

3. Find two numbers that multiply to the constant term 8 and add to the linear coefficient −6

4. Determine that the two numbers are −2 and −4 since (−2)×(−4)=8 and (−2)+(−4)=−6

5. Rewrite the quadratic trinomial inside the parentheses as a product of two binomials using these numbers.

5*(v−2)*(v−4)

Final Answer

5*v2−30*v+40=5*(v−2)*(v−4)

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