Polynomials

Multiplying Polynomials

100

Multiply these binomials (x + 5)(x + 5)

x^2 + 10x + 25

200

Multiply these binomials (2x + 4)(3x + 5)

6x^2 + 22x + 20

300

DAILY DOUBLE Multiply these binomials

 (x - 4)(7x - 2)

7x^2 - 30x + 8

400

Multiply these binomials (x² + 5)(x - 2)

X³ - 2x² + 5x - 10

500

Multiply these binomials (2x² + 4)(3x² + 5)

6x⁴ + 22x² + 20

Factoring Polynomials

100

Factor this polynomial x² + 10x + 25

(x + 5)(x + 5)

200

Factor this polynomial 7x² - 30x + 8

(x - 4)(7x - 2)

300

DAILY DOUBLE Factor this polynomial 12X^{^2} - 24x - 36 (hint: first factor out a 12)

12(x - 3)(x + 1)

400

Factor this polynomial 16m⁴ - 25

(4m² + 5)(4m² - 5)

500

Factor this polynomial 5n² - 5

5(n - 1)(n + 1)

D.O.T.S.

100

Factor d² - 49

(d - 7)(d + 7)

200

Factor this polynomial x² - 121

(x - 11)(x + 11)

300

Factor this polynomial 20m² - 5

5(2m + 1)(2m - 1)

400

DAILY DOUBLE Factor this polynomial 144x⁴ - 25

(12x² - 5)(12x² + 5)

500

Factor this polynomial B⁴ - 81

(B²+9)(B+3)(B-3)

Adding Polynomials

100

Add these (x + 5) + (x + 5)

2x + 10

200

A rectangle has a length of 4m³ + 6m and a width of m³ + 2m - 5 What is the perimeter of the rectangle?

Perimeter = 10m³ + 16m - 10

300

Add these two polynomials 

2x² + 3x + 1 and 6x² - 7x - 10

8x² - 4x - 9

400

DAILY DOUBLE

 (14y² + 15y - 9) + (-10y + 9)

14y² + 5y

500

(y² - 81) + (4y² - 3y + 90)

5y² - 3y + 9

Subtracting Polynomials

100

Subtraction of polynomials (4x² + 3x + 10) - (x² + x + 5)

3x² + 2x + 5

200

11x² + 4x + 7 subtracted FROM 15x² + 5x + 10

4x² + x + 3

300

11x² - 4x - 7 subtracted FROM 15x² + 5x + 10

4x² + 9x + 17

400

DAILY DOUBLE A triangle has a perimeter of 

12m² + 2m + 3 and another triangle has a perimeter of 5m² - m - 2 How much longer is the perimeter of the larger triangle?

7m² + 3m + 5

500

(-5x⁴ - 5x³ - 10x + 15) - (minus) (x⁴ - 2x³ + x² + 3x + 15) _________________________________

-6⁴ - 3x³ - x² - 13x