Multiplying Polynomials Review

Distributing

100

5(x²-2)

5x²-10

200

-3x(8x-7)

-24x²+21x

300

(14c³-3c²)(-2c)

-28c⁴+6c³

400

4n³(3n-2n²+2)

-8n⁵+12n⁴+8n³

500

7x²y(1x²y-5x+6y)

7x⁴y²-35x³y+42x²y²

Foiling

100

(x+8)(x-1)

x²+7x-8

200

(y-4)(y+1)

y²-3y-4

300

(n+4)(n+7)

n²+11n+28

400

(3x+8)(x+5)

3x²+23x+40

500

(3a+4b)(2a-6b)

6a²-10ab-24b²

Special Cases

100

(m+3)(m-3)

m²-9

200

(x-5)²

x²-10x+25

300

(b+7)²

b²+14b+49

400

(4x-9)(4x+9)

16x²-81

500

(3+6n²)²

36n⁴+36n²+9

Classifying/ standard form

100

a 1st degree, 2 term polynomial

what is a linear binomial? 

200

Quintic trinomial  

What is a 5th degree and 3 term polynomial? 

300

state the degree, number of terms, and name this polynomial : 100

Degree 0, Terms 1, Name: Constant Monomial 

400

Write in standard form: -4x+17-13+19x-x²

State the degree. 

-x²+15x+4

Degree 2

500

7n⁵+10n⁴-3n+10n⁷

Put in standard form and name. 

7th degree polynomial 

10n⁷+7n⁵+10n⁴-3n

Vocabulary/ Misc.

100

FOIL stands for this

What is First, Outer, Inner, Last?

200

The number in front of the highest degree term.

What is Leading Coefficient?

300

A polynomial written with all the terms in descending order according to the exponent of each term. 

What is Standard Form?

400

The 3 special cases formulas.

a²+2ab+b²=(a+b)²

a²-2ab+b²=(a-b)²

a^2-b²=(a-b)(a+b)

500

Write out all the steps to multiply these two binomials by using distributive property (a+b)(c+d).

a(c+d)+b(c+d)= ac+ad+bc+bd