Midterm Review Honors Math 3 Day 1

What is the value of the remainder?

 $\left(n^5-25n^3-7n^2-37n-18\right)\div\left(n+5\right)$  

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.D.6

A polynomial p(x) with leading coefficient of 1 has the following zeros:

x=-3 with a multiplicity of 1

x=4 with a multiplicity of 1

x=-5 with a multiplicity of 2

Write the polynomial in standard form.

• $x^4+9x^3+3x^2-145x-300$

• $x^4+11x^3+3x^2-145x-300$

• $x^4+9x^3+23x^2-145x-300$

• $x^4+11x^3+23x^2-145x-300$

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

CCSS.HSA.SSE.A.2

A polynomial

 $f\left(x\right)=x^5-47x^3-16x^2+8x+52$  can be expressed so that  $f\left(x\right)=\left(q\left(x\right)\right)\left(x-7\right)+a$ .  What is the value of a?

Tags

CCSS.HSA.APR.B.2

For the given polynomial, $p\left(x\right)=x^5+6x^4-3x^2-22x-29$ ,  p(-6) = -125.  This means the ____________ of p(x) divided by p(6) is -125.

• quotient

• divisor

• remainder

• dividend

Tags

CCSS.HSA.APR.B.2

Given this polynomial,

 $t\left(p\right)=p^4+5p^3-11p^2-25p+29$ , 

looking at the degree, what is true about the zeros?

• It has exactly 10 roots (including any repeated roots) that may be real or complex numbers.

• It has exactly 4 roots (including any repeated roots) that may be real or complex numbers.

• It has exactly p roots (including any repeated roots) that may be real or complex numbers.

• It has exactly 0 roots.

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

 $\left(5-x\right)\left(2x-1\right)^2$  

Identify the end behavior:

• 
• 
• 
• 

Tags

CCSS.HSA.APR.B.3

-4|5x + 1| - 5 = -53

Identify the largest solution to this equation.

• $-\frac{13}{5}$

• $-\frac{5}{13}$

• $\frac{5}{11}$

• $\frac{11}{5}$

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.3

Solve the absolute value inequality:

 $-3\left|6-3x\right|-7\ge-25$  
Select all answers.

•  $x\ge0$  

•  $x\le0$  

•  $x\le4$  

•  $x\ge4$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

Bottles manufactured in a factory must be 250 ml in volume with a tolerance of 20 ml. Bottles that are not within the tolerated volume cannot be sold. Which of the following inequalities can be used to assess which bottles are tolerable? (v is the volume of the bottle).

• $\left|v-20\right|\le250$

• $\left|v-20\right|\ge250$

• $\left|v-250\right|\le20$

• $\left|v-250\right|\ge20$

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

Find f(-8)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7