Skills · Polynomials · Polynomial Operations
Multiplying binomials
Printable practice with an answer key the engine computes, at three levels, in as many versions as you need.
Problem types
- (x + a)(x + b): (x + 3)(x + 4)
- (x + a)² or (x − a)²: (x + 3)²
- (ax ± b)(cx ± d): (2x + 3)(x + 4)
- (x − a)(x + b), different numbers: (x − 3)(x + 4)
- (x + a)(x − a): (x + 3)(x − 3)
- binomial times trinomial: (x + 2)(x² − 3x + 1)
Sample Sheet · Level 1
- (x + 6)(x + 3) =
- (x + 4)² =
- (x + 6)² =
- (2x + 2)(x + 3) =
- (3x + 3)(x + 5) =
- (x + 5)(x + 4) =
- (2x + 5)(x + 5) =
- (x + 8)² =
Answer key
- x² + 9x + 18
- x² + 8x + 16
- x² + 12x + 36
- 2x² + 8x + 6
- 3x² + 18x + 15
- x² + 9x + 20
- 2x² + 15x + 25
- x² + 16x + 64
Sample Sheet · Level 3
- (2x − 3)(3x + 6) =
- (x + 2)² =
- (x + 5)(x + 7) =
- (x + 6)(x − 6) =
- (x + 9)² =
- (x + 4)(x − 3) =
- (−2x + 3)(2x + 4) =
- (x + 4)(x² + 2x + 5) =
Answer key
- 6x² + 3x − 18
- x² + 4x + 4
- x² + 12x + 35
- x² − 36
- x² + 18x + 81
- x² + x − 12
- −4x² − 2x + 12
- x³ + 6x² + 13x + 20
Make your own
Pick the count, the level and the version, and print it with work space and the key on its own page. The same skill also makes an I Do, We Do, You Do lesson, a Mosaic, a Decoder and more.