Question

The common factor of 15 x4

+ 27 x3

– 21 x2

is ______________​

Answer 1

Given data :

The given polynomial is $(15x^{4}+27x^{2}-21x^{2})$

To find :

The common factor of the above polynomial.

Step-by-step explanation :

Now, $15x^{4}+27x^{3}-21x^{2}$

$=3x^{2}*5x^{2}+3x^{2}*9x-3x^{2}*7$

Above we see that all the terms of the polynomial have $\boxed{3x^{2}}$ in common and thus we take it common from them.

$=3x^{2}(5x^{2}+9x-7)$

Since $3x^{2}$ is the only term out, thus it is the only common factor.

Answer :

Therefore the common factor of $15x^{4}+27x^{3}-21x^{2}$ is $3x^{2}$.