Algebra 1: Unit 7 Polynomials Review

Vocab

100

A polynomial with two terms

What is binomial

200

Have the same variables, raised to the same exponents, regardless of coefficients

What is like terms

300

A polynomial with three terms

What is a trinomial

400

Find the degree of each term and pick the highest degree.

What is finding the degree of a polynomial

500

When a polynomial is written from the greatest degree to the least degree?

What is standard form

Polynomial Multiplication

100

Multiply: (x+5)(x+2)

x²+7x+10

200

Multiply: (2x-5)(2x+5)

4x²-25

300

Multiply: (3x+7)²

9x²+42x+49

400

Multiply: (x-5)(x²+2x+3)

x³-3x²-7x-15

500

Multiply: (5x²-2x+6)(3x²-5x+4)

15x⁴-31x³+48x²-38x+24

Monomial Multiplication

100

Multiply: (5x)(6x)

30x²

200

Multiply: (7x²y)(2xy)

14x³y²

300

Multiply: (3xy)²(5xyz)

45x³y³z

400

Multiply: (5x²y³)(4x⁵y)²

80x¹²y⁵

500

Multiply: (5x²y³z²)²(2x⁴y³z)³

200x¹⁶y¹⁵z⁷

Degree

100

Find the degree: xy⁵

6

200

Find the degree: 5x³yz⁶

10

300

Find the degree: 5x²y+2x+3

3

400

Find the degree: 2+5x³y+5x²y³

5

500

Find the degree: 5x⁵y⁶z⁹+6x³y¹⁰+6x⁹y³z²

20

Like Terms

100

Combine like terms: 5x²+20y+3x²

8x²+20y

200

Combine the like terms: 5xy+7y+7xy

12xy+7y

300

Combine the like terms: 5x²y+9xy²+5xy

It's already simplified

400

Combine the like terms: (2x²+4x²+1)-(x²-2x)

5x²+2x+1

500

Combine the like terms: 

(7xy+2xz+3x)-3(2xy-2z+3xz)

xy-7xz+6z+3x