# help with algebra question

**Question description**

1.
Find
the product of the polynomials *P(x) = 2x ^{ 2} - 3x* and

*Q(x) = 3x*

^{ 2}+ x - 5

2.
Find
the quotient and the remainder when polynomial *P(x) = 2x ^{ 4} -
x^{ 3} -3x^{ 2} + 7x - 13* is divided by

*Q(x) = x*

^{ 2}- 43.
Find
the remainder if *4 x ^{ 200} + 5 x^{ 95} -
4 x^{ 21} + 2x - 6* is divided by

*x - 1*

4. Find the third degree polynomial with leading coefficient -2 and having zeros 1, -2 and 3.

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