Math 2A Unit 1 Review

Which polynomial is a quintic binomial?

• $x^4+2x^3-x^2+7x+11$

• $3x^5+2$

• $5x^2-2x+1$

• $x^2+4x$

Which expressions are polynomials?

• $x^3-4x-3$

• $x^4+\frac{5}{x^3}-\sqrt{x}+8$

• $\left|x\right|^2+4\sqrt{x}-2$

• $-x^5+7x-\frac{1}{2}x^2+9$

• $\frac{1}{x^2-4x+3}$

 $\left(2x^4+x^3-4x^2+3\right)+\left(4x^4-2x^3-x^2+10x+2\right)$  

Fill in what is missing

 $6x^4-x^3\ \ \ \ \ \ x^2+10x+5$  

 $-2x\left(6x^4-7x^2+x-5\right)$  

Select all the correct expressions
Multiply

•  $-8x^5-9x^3-3x^2-7x$  

•  $-12x^4+14x^2-2x+10$  

•  $6x^4-7x^3+x^2-5x$  

•  $-12x^5+14x^3-2x^2+10x$  

Fill in the coefficient for the answer.
Problem:
Multiply

 $-\frac{3}{10}xy\left(60xy^6\right)$  
Answer:
 $\ \ \ \ \ x^2y^7$  

 $\left(3x+1\right)\left(x-1\right)$  

Multiply

•  $3x^2-2x-1$  

•  $3x^2+4x-1$  

•  $3x^2-2x+1$  

•  $3x^2+4x+1$  

 $\left(5x^2-3x-2\right)-\left(-2x^2-x+10\right)$  

What is the constant after you subtract

 $3n^4+21n^3+27n^2$  

Factor.

•  $3n\left(n^3+7n^2+9n\right)$  

•  $3n^2\left(n^2+7n+9\right)$  

•  $n^2\left(3n^2+21n+27\right)$  

•  $3\left(n^4+7n^3+9n^2\right)$  

What is the term missing from the factor of

 $4x^2-49y^2$  
Factor:   $\left(2x\ \ \ \ \ \ \ \right)\left(2x\ +7y\right)$  

 $9x^2+66xy+121y^2$  

Factor

•  $\left(3x+11\right)^2$  

•  $\left(3x+11\right)\left(3x+11\right)$  

•  $\left(3x+11y\right)\left(3x-11y\right)$  

•  $\left(3x+11y\right)^2$