factorize of x³+3x²+3x+28
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Answer:
(x^2 + x + 7) . (x - 4)
Step-by-step explanation:
Step1:
equation at the end of step 1
(((x^3) - 3x^2) + 3x) - 28
Step 2:
checking for a perfect cube
2.1 x^3 - 3x^2 + 3x -28 is not a perfect cube
we have 2 groups
Group 1: (3x - 28) . (1)
Group 2: (x-3) . (x^2)
The groups have no factor and cannot be added to form a multiplication .
By polynomial roots calculator it can be divided by x-4
By polynomial long division the quotient will be x^2 + x + 7 and remainder = 0
By factorising the quotient we get:
1* 7= 7 but not two factors of 7 whose sum =1
So, The ans. = (x^2+x+7) . (x-4)
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