Factor 3d^2+24d+45

Math
3d2+24d+45
Factor 3 out of 3d2+24d+45.
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Factor 3 out of 3d2.
3(d2)+24d+45
Factor 3 out of 24d.
3(d2)+3(8d)+45
Factor 3 out of 45.
3d2+3(8d)+3⋅15
Factor 3 out of 3d2+3(8d).
3(d2+8d)+3⋅15
Factor 3 out of 3(d2+8d)+3⋅15.
3(d2+8d+15)
3(d2+8d+15)
Factor.
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Factor d2+8d+15 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 15 and whose sum is 8.
3,5
Write the factored form using these integers.
3((d+3)(d+5))
3((d+3)(d+5))
Remove unnecessary parentheses.
3(d+3)(d+5)
3(d+3)(d+5)
Factor 3d^2+24d+45

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