Multiplying Binomials
What is the product of (x + 3)(x + 2)?
x^2 + 5x + 6
Factor the difference of squares: x^2 - 9.
(x + 3)(x - 3)
Factor by grouping: x^3 + x^2 + x + 1.
(x^2 + 1)(x + 1)
Add the polynomials: (2x^2 + 3x + 1) + (x^2 + 2x + 4).
3x^2 + 5x + 5
Solve the quadratic equation: x^2 - 5x + 6 = 0.
x = 2 and x = 3
Expand (2x - 1)(x + 4).
2x^2 + 7x - 4
Factor the perfect square trinomial: x^2 + 6x + 9.
(x + 3)^2
Factor by grouping: 2x^3 + 3x^2 + 2x + 3.
(2x^2 + 2)(x + 3)
Subtract the polynomials: (4x^2 + 5x + 6) - (2x^2 + 3x + 1).
2x^2 + 2x + 5
Solve the quadratic equation: 2x^2 - 8x + 6 = 0
x = 1 and x = 3
Calculate (3x + 2)(2x - 5).
6x^2 - 11x - 10
Factor the difference of cubes: x^3 - 27.
(x - 3)(x^2 + 3x + 9)
Factor by grouping: x^3 + 3x^2 + x + 3.
(x^2 + 1)(x + 3)
Add the polynomials: (3x^2 - 2x + 4) + (x^2 + 5x - 1).
4x^2 + 3x + 3
Solve the quadratic equation: x^2 + 4x - 5 = 0
x = -5 and x = 1
Find the product of (x - 6)(x + 7).
x^2 + x - 42
Factor the sum of cubes: x^3 + 8.
(x + 2)(x^2 - 2x + 4)
Factor by grouping: 3x^3 + 6x^2 + 2x + 4.
(3x^2 + 2)(x + 2)
Subtract the polynomials: (5x^2 + 4x - 3) - (2x^2 + 2x + 6)
3x^2 + 2x - 9
Solve the quadratic equation: 3x^2 - 2x - 8 = 0
x = -4/3 and x = 2
What is (4x + 3)(3x - 2)?
12x^2 + x - 6
Factor the trinomial: 4x^2 - 4x + 1.
(2x - 1)^2
Factor by grouping: x^3 + 2x^2 + 3x + 6.
(x^2 + 3)(x + 2)
Add the polynomials: (7x^2 + 3x - 2) + (2x^2 - 5x + 8)
9x^2 - 2x + 6
Solve the quadratic equation: x^2 + 6x + 9 = 0
x = -3