Fill in the missing numbers to complete the factorization. Some

hvacwk

hvacwk

Answered question

2021-12-11

Fill in the missing numbers to complete the factorization. Some of the numbers could be negative. Type the numbers in increasing order.
x3+2x2x2=(x+ )(x+ )(x+ )

Answer & Explanation

rodclassique4r

rodclassique4r

Beginner2021-12-12Added 37 answers

Step 1
given,
x3+2x2x2
Step 2
solution,
factors of x3+2x2x2...(1)
put x=1 in (1)
=13+21212
=1+2-1-2
=0
hence (x-1) is the factor of x3+2x2x2,
x3+2x2x2=x2(x1)+3x(x1)+2(x1)
=(x1)(x2+3x+2)
=(x1)(x2+2x+x+2)
=(x-1)(x+1)(x+2)

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