Multiplying Polynomials Worksheet
The trick (Urdhva Tiryagbhyam): (ax² + bx + c)(dx + e): x³ = a×d; x² = a×e + b×d; x = b×e + c×d; number = c×e. (ax + by)(cx + dy): x² = a×c; xy = a×d + b×c; y² = b×d. Keep the signs; leave out a term whose total is 0. Type x³ as x^3.
NameDateTime takenScore ___ / 40
- 1.(3x² − 3x − 8)(x + 2) =
- 2.(2x² + 4x + 6)(3x − 6) =
- 3.(3x² − x − 5)(2x + 9) =
- 4.(4x + 2y)(4x + 7y) =
- 5.(3x² + 5x − 5)(2x − 1) =
- 6.(x² + x + 1)(x + 3) =
- 7.(3x² − x + 3)(2x + 9) =
- 8.(x² + 2x + 3)(x + 2) =
- 9.(2x + 5y)(x + 2y) =
- 10.(x² + 5x + 4)(x + 2) =
- 11.(3x + 7y)(x + 2y) =
- 12.(x² − 2x + 6)(2x + 7) =
- 13.(2x² + 3x − 4)(x + 5) =
- 14.(3x² + 2x + 3)(3x + 3) =
- 15.(3x² + 2x + 8)(2x + 7) =
- 16.(5x + 3y)(4x − 9y) =
- 17.(x² + 3x − 3)(x + 1) =
- 18.(4x + 6y)(5x + y) =
- 19.(2x² + 5x + 6)(x − 3) =
- 20.(5x − 6y)(3x − 8y) =
- 21.(2x² + 4x + 2)(x − 6) =
- 22.(2x² + 5x + 5)(x − 2) =
- 23.(2x² + 3x + 3)(2x + 9) =
- 24.(3x² + 2x + 8)(x + 4) =
- 25.(3x² − 4x + 1)(x + 6) =
- 26.(x² + 3x + 5)(x + 7) =
- 27.(3x² − 3x − 4)(x + 9) =
- 28.(5x − 3y)(3x − 2y) =
- 29.(x² + 5x + 5)(3x − 8) =
- 30.(x² + x + 7)(2x + 3) =
- 31.(2x² + x + 4)(3x − 1) =
- 32.(2x − 2y)(5x − 9y) =
- 33.(2x² + 2x − 2)(2x + 8) =
- 34.(x + 7y)(5x + y) =
- 35.(3x² + x + 6)(2x + 6) =
- 36.(x + 6y)(2x + 6y) =
- 37.(2x² + 4x + 7)(2x − 3) =
- 38.(2x² − 2x + 6)(3x − 4) =
- 39.(2x² + 2x + 7)(x − 4) =
- 40.(x + 3y)(5x − 8y) =
Answer key
- 3x³ + 3x² − 14x − 16
- 6x³ − 6x − 36
- 6x³ + 25x² − 19x − 45
- 16x² + 36xy + 14y²
- 6x³ + 7x² − 15x + 5
- x³ + 4x² + 4x + 3
- 6x³ + 25x² − 3x + 27
- x³ + 4x² + 7x + 6
- 2x² + 9xy + 10y²
- x³ + 7x² + 14x + 8
- 3x² + 13xy + 14y²
- 2x³ + 3x² − 2x + 42
- 2x³ + 13x² + 11x − 20
- 9x³ + 15x² + 15x + 9
- 6x³ + 25x² + 30x + 56
- 20x² − 33xy − 27y²
- x³ + 4x² − 3
- 20x² + 34xy + 6y²
- 2x³ − x² − 9x − 18
- 15x² − 58xy + 48y²
- 2x³ − 8x² − 22x − 12
- 2x³ + x² − 5x − 10
- 4x³ + 24x² + 33x + 27
- 3x³ + 14x² + 16x + 32
- 3x³ + 14x² − 23x + 6
- x³ + 10x² + 26x + 35
- 3x³ + 24x² − 31x − 36
- 15x² − 19xy + 6y²
- 3x³ + 7x² − 25x − 40
- 2x³ + 5x² + 17x + 21
- 6x³ + x² + 11x − 4
- 10x² − 28xy + 18y²
- 4x³ + 20x² + 12x − 16
- 5x² + 36xy + 7y²
- 6x³ + 20x² + 18x + 36
- 2x² + 18xy + 36y²
- 4x³ + 2x² + 2x − 21
- 6x³ − 14x² + 26x − 24
- 2x³ − 6x² − x − 28
- 5x² + 7xy − 24y²
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