Answer:
Step-by-step explanation:
Let the original polynomial be .
We know that when it is divided by , the quotient is and we get a remainder of 3.
Therefore, this means that:
Remember what it means when we have a remainder. Say we have 13 divided by 3. Our quotient will be 4 R1, or 4 1 <em>over</em> 3. We put the remainder over the divisor. This is the same thing for polynomials.
So, to find our original polynomial, multiply both sides by :
The left side will cancel. Distribute the right:
Distribute:
Combine like terms:
Evaluate:
And we're done!