Factoring
Polynomials
Polynomials
Factor:
x² + 5x + 6
(x + 2)(x + 3)
Factor:
4x + 8
4(x + 2)
(3x² + 2x) + (x² − 5x)
4x² − 3x
(x +2)(X+4) = 0
x = -2 and x = -4
A rectangular garden has a length of x and has a width of y. The length is increased by 5 and the width is decreased by 2.
What is the expression for the area?
(x +5)(y-2)
Factor:
x² − 9
(x -3)(x+3)
Factor:
6x² − 9x
3x(2x − 3)
(8x³ − 4x + 1) − (3x³ + 2x − 6)
5x³ − 6x + 7
Solve: x² − 4 = 0
x = 2 or x = −2
A rectangular swimming pool has a length of a and a width of b. The length is increased by 6 and the width is decreased by 1.
What is the expression for the area of the new pool?
(a + 6)(b - 1)
Factor:
x² − 7x − 18
(x − 9)(x + 2)
Factor:
15x³ + 10x²
5x2(3x + 2)
(x + 3)(x − 2)
x² + x − 6
Find the sum of the solutions of the polynomial:
2x² − 8x = 0
4
A rectangular playground has a length of m meters and a width of n meters. The length is decreased by 3 and the width is increased by 4.
What is the expression for the area of the new playground?
(m − 3)(n + 4)
Factor:
2x² + 11x + 5
(2x + 1)(x + 5)
Factor:
−12x² − 8x
−4x(3x + 2)
(2x − 1)(3x² + x + 4)
6x³ − x² + 7x − 4
Solve:
x² − 3x − 10 = 0
x = 5 or x = −2
How many daughter's does Mrs. Pryne have?
3
Factor:
3x² − 12x − 15
3(x − 5)(x + 1)
Factor:
20x⁴ + 30x³ − 10x²
10x²(2x² + 3x − 1)
(x² − 5x + 2)(x + 3)
x³ − 2x² − 13x + 6
Solve:
3x² + 12x − 15 = 0
x = 1 or x = −5
How many days are left in the school year?
34