Question

Which of the following option is equivalent to the polynomial $-3t^2+11t^{10}-5t^4$?

• A. $t^2(11t^8-5t^2-3)$
• B. $11t^8-5t^2-3$
• C. $t^4(11t^8-5t^2-3)$
• D. None of the above

Answer 1

The correct option is A $t^2(11t^8-5t^2-3)$

The standard form of the polynomial
$-3t^2+11t^{10}-5t^4$ is $11t^{10}-5t^4+3t^2$.
[ For a polynomial to be in standard form, the terms should be organised so that the exponents of the variables are in decreasing order.]

$⟹$ Taking $t^2$ out as the greatest common factor from $11t^{10}-5t^4+3t^2$, the simplest form is $t^2(11t^8-5t^2+3)$