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factor x³+12x²+41x+42


Sagot :

Question:

factor x³+12x²+41x+42

​Answer:

( x+2 ) ( x+3 ) ( x+7 )

Answer:

x³+12x²+41x+42

=x³+2x²+10x²+20x+21+42

=x²(x+2)+10x(x+2)+21(x+2)

=(x+2)(x²+10x+21)

=(x+2)(x²+7x+3x+21)

=(x+2)(x(x+7)+3(x+7))

=(x+2)(x+7)(x+3)