Polynomials

Adding

100

(3y^{2 +} 5y - 6) + (7y² - 9)

 

(10y² + 5y - 15)

200

(4y² + 8y - 4) + (9y² - 2)

13y² + 8y - 6

300

(3x² - 4x + 3) + (2x² - 5x -4)

5x² - 9x - 1

400

 (2x + 5y) + (3x – 2y)

 5x + 3y

500

(3x³ + 3x² – 4x + 5) + (x³ – 2x² + x – 4)

4x³ + 1x² – 3x + 1

Subtracting

100

(3x²y + 6x²  + x) - (4x² + x + 4)

3x²y + 2x² - 4

200

(3x² + 2x - 5) - (5x² - 3x + 2)

-2x² + 5x - 7

300

(6x³ – 2x² + 8x) – (4x³ – 11x + 10)

 2x³ – 2x² + 19x – 10

400

(x³ + 3x² + 5x – 4) – (3x³ – 8x² – 5x + 6)

 –2x³ + 11x² + 10x –10

500

(3x³ – 5x + 9) + (6x³ + 8x – 7)

9x³ + 3x + 2

Multiplying

100

(7x²+8x+2)(8x²+6x+5)

56x⁴+106x

200

(2x⁷+4x²+3x)(3x⁸+2x³+15x)

9x⁷+6x⁶+15x

300

 3x²(4x² – 5x + 7)

12x⁴ - 15x³  + 21x²

400

–6xy(4x² – 5xy – 2y²)

-24x³y + 30x²y² + 12xy³

500

 (3x – 4y)(5x – 2y)

15x² - 26xy  + 8y²

Degree of Polynomials

100

-x⁴+x²+x

4

200

x⁵y²+x⁴y²

7

300

x⁵y³z+2xy³+4x²yz²

9

400

2x³y⁶z²+5x²y⁴+x⁵y⁷

12

500

x¹⁵y⁴z⁹+x⁸y¹²z²+x²⁰y⁷

28

Vocabulary

100

What are Polynomials

 Polynomials are  an expression of more than two algebraic terms

200

degree of a polynomial

the exponent

300

Leading coefficient

the coefficient of the term with the highest degree

400

Monomial

(of an algebraic expression) consisting of one term.

500

Standard form of a Polynomial

from highest to lowest degree