Operations with Polynomials

Which expression represents the difference of the polynomials below?

 $\left(2x^4+x^2+7x+2\right)-\left(x^4+4x^3+7x-2\right)$  

•  $x^4-4x^3+x^2$  

•  $x^4+4x^3+x^2+4$  

•  $x^4-4x^3+x^2+4$  

•  $x^4+4x^3+x^2+14x$  

Tags

CCSS.HSA.APR.A.1

Which of the following is equivalent to  $\left(3a^2+1\right)\left(a-4\right)$  

•  $3a^3+3a^2+4a-4$  

•  $3a^3-11a-4$  

•  $3a^3-11a^2-4$  

•  $3a^3-12a^2+a-4$  

Which of the following may have an outcome that is not a polynomial?

• the addition of two polynomials

• the multiplication of two polynomials

• the subtraction of two polynomials

• the division of two polynomials

What is the correct expansion of  $\left(x+y\right)^5$  

•  $x^5+4x^4y+6x^3y^2+4x^2y^4+y^5$  

•  $x^5+5x^4y+10x^3y^2+5x^2y^4+y^5$  

•  $x^5+4x^4y+6x^3y^2+6x^2y^3+4xy^4+y^5$  

•  $x^5+5x^4y+10x^3y^2+10x^2y^3+5xy^4+y^5$  

Which of the following represents the 6th term in the expansion of  $\left(a+b\right)^7$  ?

•  $21a^2b^5$  

•  $21a^5b^2$  

•  $35a^2b^5$  

•  $35a^5b^2$  

Which is the result of dividing  $4x^3-13x^2+x+6$  by  $x-3$  ?

•  $4x^2-x-2$  

•  $4x^2-x-2+\frac{3}{x-3}$  

•  $4x^2+49x+228$  

•  $4x^2-25x+\frac{302}{x-3}$  

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.D.6

Which of the following expressions represents the quotient of  $\frac{8x^3+10x^2-4x+6}{x+1}$  

•  $8x^2+2x-6+\frac{12}{x+1}$  

•  $8x^2+2x-6-\frac{9}{x+1}$  

•  $8x^2+18x+14+\frac{11}{x+1}$  

•  $8x^2+18x+14-\frac{17}{x+1}$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

Which of the following expressions represents the quotient of  $\frac{3x^3+6x^2-2x+6}{x^3+x^2+5}$  

•  $3+\frac{-9}{x^3+x^2+5}$  

•  $3+\frac{21}{x^3+x^2+5}$  

•  $3+\frac{3x^2-2x-9}{x^3+x^2+5}$  

•  $3+\frac{9x^2-2x+21}{x^3+x^2+5}$  

This table contains the order pairs (x, y) of a function.

(-1, -2.5), (0, -2), (1, -1), (2, 1), and (3, 5).

Which of the following is not a point on the inverse of this function?

• (-2, 0)

• (-1, -1)

• (1, 2)

• (5, 3)

Which of the following is the inverse of  $f\left(x\right)=3x+4$  ?

•  $f^{-1}\left(x\right)=\frac{x-3}{4}$  

•  $f^{-1}\left(x\right)=\frac{x-4}{3}$  

•  $f^{-1}\left(x\right)=\frac{x+3}{4}$  

•  $f^{-1}\left(x\right)=x+4$