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How do you factor the expression

3d {}^(2) + 23d + 14
?

User Ittus
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1 Answer

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3 {d}^(2) + 23d + 14

first multiply 14•3 = 42

find 2 numbers that when multiplied it equals to 42 and when added it equals to 23, in this case the numbers are 21 & 2

replace the 23d with the 2 numbers

3 {d}^(2) + 21d + 2d + 14
factor out 3d from the expression

3d(d + 7) + 2d + 14
then factor out 2 from the expression

3d(d + 7) + 2(d + 7)
factor out (d+7)

(3d + 2)(d + 7)
User Bouchehboun Saad
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