Factor 5x^2-22x+8

Problem

5*x2−22*x+8

Solution

1. Identify the coefficients of the quadratic expression a*x2+b*x+c where a=5 b=−22 and c=8

2. Find two numbers that multiply to a⋅c=5⋅8=40 and add to b=−22

3. Determine the pair of numbers, which are −20 and −2

4. Rewrite the middle term −22*x using the two numbers found: 5*x2−20*x−2*x+8

5. Factor by grouping the first two terms and the last two terms: 5*x*(x−4)−2*(x−4)

6. Factor out the common binomial factor (x−4)

Final Answer

5*x2−22*x+8=(5*x−2)*(x−4)

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