Question

When we divide $3t^4+5t^3-7t^2+2t+2$ by $t^2+3t+1$, we get $3t^2-4t+2$ as quotient.

• A. True
• B. False

Answer 1

The correct option is A

True

Lets divide $3t^4+5t^3-7t^2+2t+2\text{by}{t}^2+3t+1$,

$3t^2-4t+2t^2+3t+1)\overline{3t^4+5t^3-7t^2+2t+2}\underset{–}{{}_{-}3t^4\pm 9t^3\pm 3t^2}\underset{–}{-4t^3-10t^2+2t\mp 4t^3\mp 12t^2\mp 4t}\underset{–}{2t^2+6t+2{}^{}{}_{-}2t^2\pm 6t\pm 2}00$

Thus, the given statement is true.