Factor 4w^2-52w-120

Math
4w2-52w-120
Factor 4 out of 4w2-52w-120.
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Factor 4 out of 4w2.
4(w2)-52w-120
Factor 4 out of -52w.
4(w2)+4(-13w)-120
Factor 4 out of -120.
4w2+4(-13w)+4⋅-30
Factor 4 out of 4w2+4(-13w).
4(w2-13w)+4⋅-30
Factor 4 out of 4(w2-13w)+4⋅-30.
4(w2-13w-30)
4(w2-13w-30)
Factor.
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Factor w2-13w-30 using the AC method.
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Consider the form x2+bx+c. Find a pair of integers whose product is c and whose sum is b. In this case, whose product is -30 and whose sum is -13.
-15,2
Write the factored form using these integers.
4((w-15)(w+2))
4((w-15)(w+2))
Remove unnecessary parentheses.
4(w-15)(w+2)
4(w-15)(w+2)
Factor 4w^2-52w-120

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