All Things Polynomial
Long Division
Synthetic Division
Rational Root Theorem
SAT Questions
100

State the number of complex zeros for the following function:


x- 9x2 + 20

What is 4 zeros? 

100

Divide using long division:


36/9

What is 4? 

100

Divide the following expression using synthetic division:


(x3 + 5)/(x + 2)

What is x2 - 2x + 4 - 3/(x+2)

100

State if the given binomial is a factor of the given polynomial:


(-10x3 - 58x2 - 48x - 40)/(x + 5)

What is yes? 

100

Line L is graphed in the xy-plane. If an equation for the line L is 6y - 3x = 5, which of the following statements is true? 

a) The x-int of line L is 5/6 and the y-int is -5/3

b) Line L has a slope of 2

c) Line L has a slope of 1/2

What is answer C? 

200

Simplify the following expression:


(5x3 - 7x4) + (8 - 4x3)

What is -7x+ x3 + 8?

200

Divide using long division:


358/17

What is 21 R1? 

or 

What is 21 remainder 1?

200

Divide the following expression using synthetic division: 


(2x3 - 5x - 7)/(x-2)

What is 2x2 + 4x + 3 - 1/(x-2)?

200

State if the given binomial is a factor of the given polynomial:


(9x3 + 63x2 + 44x - 64)/(x + 6)

What is no?

200

What is the equivalent to the expression below:


14q2 + 8pq - 9p2 + 40pq - 70q2 + 17p2

What is 8(p + 7q)(p - q)?

300

Simplify the following expression:


(3 + 5a2) - (2 + 6a2)

What is -a2 + 1?

300

Use long division to solve the following expression:


3x3 - 5x2 + 10x - 3 divide by 3x + 1

What is x2 - 2x + 4 + -7/(3x+1)?

300

Divide the following expression using synthetic division:


(5x3 - 3x2 - 6)/(x-1)

What is 5x+ 2x + 2 - 4/(x-1)?

300

Factor the following equation: 


x3 - x2 + 4x - 4 = 0

What is (x - 1)(x2 + 4) = 0?

300
x = 315 degrees state x in radians

What is (7pi)/4?

400

Find the product of the following expression:


(3k + 5)(7k2 + k - 4)

What is 21k3 + 38k2 - 7k -20?

400

Use Long Division to evaluate the following expression:


2x3 - 9x2 + 15 divide by 2x - 5

What is x2 - 2x - 5 + -10/(2x - 5)?

400

Divide the following expression using synthetic division: 


(3x3 - 2x2 - 7x + 6)/(x + 1)

What is 3x2 - 5x -2 + 8/(x+1)?

400

Factor the following equation: 


x2 - 25 = 0

What is (x-5)(x+5) = 0?

400

The area of a sandbox is represented by A(w) = 22w - w2 if David has 44 linear feet of wood the maximum area will be...

What is 121 ft2?

500

Find the product of the following expression:


(7r2 - 2r + 4)(7r2 + 3r - 3)

What is 49r+ 7r3 + r2 + 18r - 12?

500

Use long division to evaluate the following expression:


4x4 + 3x3 + 2x + 1 divide by x2 + x + 2

What is 4x2 - x -7 + (11x + 15)/(x2 + x + 2)?

500

Divide the following expression using synthetic division: 


(2x3 + 7x2 - 6x - 8)/(x +4)

What is 2x2 - x - 2?

500

Factor the following equation:


x3 + 1 = 0

What is (x+1)(x2 - x + 1) = 0?

500

The recommended daily calcium intake for a 20-year-old is 1,000 milligrams (mg). One cup of milk contains 299 mg of calcium and one cup of juice contains 261 mg of calcium. Write the inequality that represents the possible number of cups of milk m and cups of juice j a 20-year-old could drink in a day to meet or exceed the recommended daily calcium intake from these drinks alone. 

What is 299m + 261j >= 1000?

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