Question

Expand the polynomial $x(x^2+x)(x^3-1)$ into standard form.

• A. $x^6+x^5-x^3-x^2$
• B. $x^6-x^2+x^5-x^3$
• C. $x^5-x^3+x^6-x^2$
• D. $x^6-x^3+x^5-x^2$

Answer 1

The correct option is A $x^6+x^5-x^3-x^2$

The standard form for writing a polynomial is to put the term with the highest degree first, then the term with the next highest degree, and so on.
$x(x^2+x)(x^3-1)$
On multiplying we get,
$x(x^5-x^2+x^4-x)$
$x^6-x^3+x^5-x^2$
$x^6+x^5-x^3-x^2$
So, $x^6+x^5-x^3-x^2$ is the standard form of the polynomial.