factroisation , x³+13x²+32x+20
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Answer:
Step-by-step explanation:
Let be put x= -2.
f(-2) = -8+52-64+20
Hence we get 0 of the equation f(-2).
Then 1 factor of this is (X+2).
So, now we have to find 2 more factors of it therefore we will give X+2 three times.
We now find the equation x³+13x²+32x+20 with the help of X+2.
X²(X+2) + 11x (X+2) +10 (X+2)
Here X+2 is common so we take out X+2.
(X²+11x+10) (X+2)
Then we find the factor of (x²+11x+10)
(x²+x+10x+10) (X+2)
[x(x+1)+10(x+1)] (X+2)
(X+1) (X+2) (X+10)
Hence the answer in front of you.
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