7/8 Algebra Polynomials

Vocab/Errors

100

-5x + 1

is classified as this type of polynomial

Binomial

200

7x^2 + 1y^3

find the error of this expression

The variable needs to eliminate the 1 to show y^3

300

1+5x^4+3x^5-5x^2

write the polynomial expression into standard form

3x^5+5x^4-5x^2+1

400

-4x^2+11x-2

is classified as this type of polynomial

Trinomial

500

4x^3-2x^2+10x^2-1

is first simplified. This is the coefficient of the term with a degree/exponent of 2.

8

Simplifying Expressions

100

4m-4+m+7

5m+3

200

a+3+2a+2+2a

5a+5

300

-x^2+5-8x+4x^2+x-4

3x^2-7x+1

400

-5d^2+3d-2+6d^2-8d+7

d^2-5d+5

500

2x^2-xy+11y-4+7yx-5x^2-9y

-3x^2+6xy+2y-4

Adding/Subtracting Monomials & Binomials

100

6y^5+y^5

7y^5

200

6a+9a^2-4a

9a^2+2a

300

(3g^4+7g)+(9g^4-4g)

12g^4+3g

400

(1/2x^3+y^2)+(1/2x^3-3y^2)

x^3-2y^2

500

Correct the simplified answer

(-6xy + 2x^2) - (3xy - 4x^2 +6) =  (-3xy - 2x^2 + 6)

Correct the simplified answer

6x2 - 9xy - 6  or  (-9xy + 6x^2 -6)

Adding/Subtracting Polynomials

100

(3xy+6y-4)+(2y+2)

3xy+8y-2

200

(-3x^2+7x)+(-x^2-6)

-4x^2+7x-6

300

(3r-5+1/2r^2)+(5r+2+r^2) 

in standard form

3/2r^2+8r-3

400

(6a^2+2a-5)-(4a^2+5a+7)

2a^2-3a-12

500

(6x^2+5x-7)+(3x^2-7x+8)-(3x^2-6x)

6x^2+4x+1