Factoring Polynomials

Vocabulary

100

The number in front of a variable

What is a coefficient?

200

A polynomial with only 2 terms.

What is a binomial?

300

A polynomial with only 3 terms.

What is a trinomial?

400

A term that only has a number not a variable.

What is a constant?

500

Identical monomials that may have different coefficients

What is similar monomials?

Adding Polynomials

100

(4a-5)+(3a+6)

7a+1

200

(3x²-2x+9)+(x²+2x-9)

4x²

300

(2x²+6xy-5y)+(3x²+2xy+5y-2y²)

5x²+8xy-2y²

400

(10s+3t-5r)+(3s+10t+2r)

13s+13t-3r

500

6k²+4km²-16m+2km²+10m+3k²

9k²+6km²-6m

Subtracting Polynomial

100

x⁴*x^-3*x⁵x

x⁷

200

(x⁴)³

x¹²

300

(x³y²)(x¹⁰y^-2)

x¹³

400

(2r^-5s²t⁴)³(3s²t)²

72(s^10t^14)/r^15

500

(45x^3y^5z^9)/(3x^2y^8z^3)

15(xz^6)/(y^3)

Simplifying

100

(x-9)(x+9)

x²-81

200

(x-2)(x+4)

x²+2x-8

300

(x+2)²

x²+4x+4

400

(2x-3)²

4x²-12x+9

500

(2x+3)(2x²+3x+4)

4x³+12x² +17x+12

GCF & Grouping

100

3x²+27x

3x(x+9)

200

24x⁶+8x⁴-12x²

4x²(6x⁴+2x²-3)

300

5x(x-3)+3(x-3)

(5x+3)(x-3)

400

6y(y-1)-(1-y)

(6y+1)(y-1)

500

30x²+6xy+15x+3y

(6x+3)(5x+y)