If x represents a positive integer, factor x^{3}+3x^{2}+2x to show

philosphy111of

philosphy111of

Answered question

2021-12-06

If x represents a positive integer, factor x3+3x2+2x to show that the trinomial represents the product of three consecutive integers.

Answer & Explanation

tnie54

tnie54

Beginner2021-12-07Added 18 answers

Step 1
To factor the given Trinomial.
Step 2
given that
=x3+3x2+2x
where x represents a positive integer
we have to factor the given polynomial
The greatest common factor is the largest expression that divides every term in the polynomial
In this case, the GCF of the three terms of polynomial is x.
x3+3x2+2x=x(x2+3x+2)
=x(x+1)(x+2)
if x is any integers this factorization will give consecutive integers
for example
if x=10
the factorization
=10 (11)(12)

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