Polynomial Review

Polynomial Terminology

100

2 term polynomial

What is a binomial

200

The degree in 5x+3y⁶4x² 

What is 6

300

How many terms does a quadrilateral polynomial have

What is 4

400

The -4 in this polynomial 8y+2y⁴-4x⁵

What is the leading coefficient 

500

If I have 3 terms

What is a trinomial

Adding and Subtracting

100

Problem 2: 

(4 + 2n³) + (5n³ + 2)

What is 7n³+6

200

(5a + 4) − (5a + 3)

What is 1

300

(−4k⁴ + 14 + 3k² ) + (−3k⁴ − 14k² − 8)

What is -7k⁴-11k²+6

400

(3 − 6n⁵ − 8n⁴) − (−6n⁴− 3n − 8n⁵)

What is 2n⁵-2n⁴⁺3n+3 

500

(y³ − 7x⁴ y⁴) + (−10x⁴ y³ + 6y³ + 4x⁴ y⁴ ) + (-x⁴ y³ - 6x⁴ y⁴ )

Hint: Like terms have to have the same exponents  

What is 3x⁴y⁴-11x⁴y³+7y3

Multiplying Polynomials

100

(x − 3)(6x − 2)

What is 6x²-20x+6

200

(6p + 8)(5p − 8)

What is 30p²-8p-64

300

(4a + 2)(6a²− a + 2)

What is 24a³+8a²+6a+4

400

(6n²− 6n−5)(7n²+ 6n−5)

What is 42n⁴-6n³-101n²+25

500

(2x³-5x)²

4x⁶-20x⁴+25x²

GCF/Roots

100

4n⁹ + 12n

What is 4n(n⁸+3)

200

-12a - 3

-3(4a + 1)

300

(2x − 1)(x − 5) Find the Roots

What is 5 and 1/2

400

Find the Roots

x(5x − 2)(x² + 1)

0, 2/5, Square root of -1

500

Find the roots 

35xy − 5x − 56y + 8

(5x − 8)=8/5

(7y − 1)=1/7

Factoring Polynomials

100

12n³ + 4n²+ 3n + 1

(4n²+ 1)(3n + 1)

200

12xy − 28x − 15y + 35

(4x − 5)(3y − 7)

300

b²+ 16b + 64

(b + 8)²

400

2n² + 6n − 108

2(n + 9)(n − 6)

500

3p²− 2p − 5

(3p − 5)(p + 1)