Alg. I Chapter 7A Review

Multiplying Polynomials

100

What operation do you use when multiplying like bases? 

Multiplication

200

solve.

-3m(3m²+9)

-9m³-27m

300

solve.

(x+3)(x-7)

x^2 -4x-21

400

solve.

(x-5)(x^2+3x-4)

x^3 -2x^2 -19x+20

500

solve.

(3n+4)(3n-1)(n+2)

9n^3 +27n^2 +14n -8

Dividing by Monomials

100

When dividing by a like base what operation is used on the exponents?

Subtraction

200

(60n^2 +18n-24)/6 

10n^2+3n-4

300

(8x^5+9x^4-6x^3-13x^2+2x)/(x)

8x^4+9x^3-6x^2-13x+2

400

(18x^7+26x^5-14x^4-6x^3)/(2x^3)

9x^4+13x^2-7x-3

500

(-18x^5y^3-6x^4y^5-20xy)/(-2xy)

9x^4y^2+3x^3y^4+10

subtracting polynomials

100

What do you do when subtracting polynomials?

Change the subtraction sign to an addition sign and change the signs of all the terms in the polynomials being subtracted. Then Combine like Terms

200

solve.

(8a+8)-(4a+3)

4a+5

300

solve.

(-4a³+3a+9)-(a-2)

-4a³⁺2a+11

400

solve.

(a-2)-(-4a³+2a+5)

4a³-a-7

500

Solve 

(x³-2x²+3x-3)-(x²-2x-3)

x³-3x²+5x

Adding polynomials

100

solve.

(3g²+4g+6)+(7g²+g+8)

10g²+5g+14

200

What is one thing you do while adding polynomials?

When adding polynomials you would want to combine like terms.

300

solve.

(3b+5)+(2b+4)

(3b+5)+(2b+4)=5b+9

400

solve.

9a²+8a+9+3+3a²

12a²+8a+12

500

solve.

16a²+10a

16a²+10a

Classifying Polynomials

100

What is the Degree of this Polynomial

8x^5+6x^3+24x-5

Quintic

200

Classify by the number of terms

2x^4-4x^2+7

Trinomial

300

Rewrite this equation in standard form

-6x^7-2x^4-2x^2+3x+1

-6x^7-2x^4-2x^2+3x+1

400

What is the Leading Coeficiant of the Equation

4x-5x^2+x^5-2x^4

1

500

Rewrite in standard form, state the degree and leading coefficient, and classify the polynomials by the number of terms. 

2x^2-x^4+7

Standard Form:  -x^4+2x^2+7 

Degree: Quartic 

Leading Coefficient: -1

# of terms: Trinomial