AlgebraLab

Algebra I Exercises: Multiplying Polynomials and Two Special Cases of Polynomials

By B Horn

Directions and/or Common Information:

Multiply each monomial and polynomial.

5x (2x2 + 5x +8)

-2x (7x2 - 2x - 2)

x (y2 + 2y)

-4x (-2y2 - x + 1)

3x (-7y3 - 6x2 + 3y - 5)

Directions and/or Common Information:

Use FOIL to multiply the two binomials.

(x + 2)(x + 8)

(x + 1)(x - 1)

(6x - 1)(x + 2)

(-2x + 5)(4x -2)

(x + 4)(x - 4)

(-3x2 - 1)(-7x - 4)

(x - 2)(x + 2)

(x2 - 3)(7x2 - 8)

Directions and/or Common Information:

Square the binomials.

(x + 6)2

(x - 9)2

(-x + 5)2

(-x - 4)2

(3x - 2)2

(4x + 8)2

Directions and/or Common Information:

Multiply the polynomials.

(x + 1)(7x2 +3x + 4)

(8x2 + 5x + 7)(3x2 +7x +1)

( x2 -9x + 8)(2x2 + 3x + 6)

(-2x3 + 4x - 3)( 8x2 + 5x - 4)
(x2 - 6x + 9)(-7x2 + 3x + 5)

(6x2 -6x + 3)(7x2 - 7x -1)

(-3x4 + 7x3 -3x2 +6x + 1)(5x3 + 9x2 - 7x + 2)