Multiplying Polynomials
Factoring Polynomials
D.O.T.S.
Adding Polynomials
Subtracting Polynomials
100
Multiply these binomials (x + 5)(x + 5)
x^2 + 10x + 25
100
Factor this polynomial x^2 + 10x + 25
(x + 5)(x + 5)
100
Factor d^2 - 49
(d - 7)(d + 7)
100
Add these (x + 5) + (x + 5)
2x + 10
100
Subtraction of polynomials (4x^2 + 3x + 10) - (x^2 + x + 5)
3x^2 + 2x + 5
200
Multiply these binomials (2x + 4)(3x + 5)
6x^2 + 22x + 20
200
Factor this polynomial 7x^2 - 30x + 8
(x - 4)(7x - 2)
200
Factor this polynomial x^2 - 121
(x - 11)(x + 11)
200
A rectangle has a length of 4m^3 + 6m and a width of m^3 + 2m - 5 What is the perimeter of the rectangle?
Perimeter = 10m^3 + 16m - 10
200
11x^2 + 4x + 7 subtracted FROM 15x^2 + 5x + 10
4x^2 + x + 3
300
DAILY DOUBLE Multiply these binomials (x - 4)(7x - 2)
7x^2 - 30x + 8
300
DAILY DOUBLE Factor this polynomial 12X^2 - 24x - 36 (hint: first factor out a 12)
12(x - 3)(x + 1)
300
Factor this polynomial 20m^2 - 5
5(2m + 1)(2m - 1)
300
Add these two polynomials 2x^2 + 3x + 1 and 6x^2 - 7x - 10
8x^2 - 4x - 9
300
11x^2 - 4x - 7 subtracted FROM 15x^2 + 5x + 10
4x^2 + 9x + 17
400
Multiply these binomials (x^2 + 5)(x - 2)
X^3 - 2x^2 + 5x - 10
400
Factor this polynomial 16m^4 - 25
(4m^2 + 5)(4m^2 - 5)
400
DAILY DOUBLE Factor this polynomial 144x^4 - 25
(12x^2 - 5)(12x^2 + 5)
400
DAILY DOUBLE (14y^2 + 15y - 9) + (-10y + 9)
14y^2 + 5y
400
DAILY DOUBLE A triangle has a perimeter of 12m^2 + 2m + 3 and another triangle has a perimeter of 5m^2 - m - 2 How much longer is the perimeter of the larger triangle?
7m^2 + 3m + 5
500
Multiply these binomials (2x^2 + 4)(3x^2 + 5)
6x^4 + 22x^2 + 20
500
Factor this polynomial 5n^2 - 5
5(n - 1)(n + 1)
500
Factor this polynomial B^4 - 81
(B^2+9)(B+3)(B-3)
500
(y^2 - 81) + (4y^2 - 3y + 90)
5y^2 - 3y + 9
500
(-5x^4 - 5x^3 - 10x + 15) - (minus) (x^4 - 2x^3 + x^2 + 3x + 15) _________________________________
-6^4 - 3x^3 - x^2 - 13x
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