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.(3x + 7y)(x − 2y) =
- 2.(5x + 9y)(4x + 5y) =
- 3.(2x² + 2x + 9)(x + 8) =
- 4.(3x² + 4x + 6)(2x + 4) =
- 5.(2x² + 4x + 4)(x − 3) =
- 6.(x − 4y)(x + 4y) =
- 7.(2x + 4y)(4x − 5y) =
- 8.(2x + 6y)(3x + 2y) =
- 9.(x² + 5x − 2)(3x + 6) =
- 10.(x + 8y)(3x − 3y) =
- 11.(2x² − x + 7)(x + 9) =
- 12.(3x² + 2x − 8)(x + 2) =
- 13.(3x² + 2x + 2)(x + 5) =
- 14.(x² + x + 8)(2x + 3) =
- 15.(2x² + 2x + 3)(x + 1) =
- 16.(x + 2y)(5x − 7y) =
- 17.(5x + 6y)(5x + 9y) =
- 18.(x² − x + 3)(x + 9) =
- 19.(x + 4y)(3x + y) =
- 20.(3x + 7y)(x + 5y) =
- 21.(2x² + x − 4)(3x + 2) =
- 22.(3x − y)(3x + 7y) =
- 23.(5x − y)(5x − 2y) =
- 24.(x² + 3x + 8)(3x − 4) =
- 25.(x − y)(5x − y) =
- 26.(3x² − 4x + 9)(2x + 9) =
- 27.(3x² + 5x + 4)(x + 7) =
- 28.(5x + 2y)(x + 2y) =
- 29.(4x + 8y)(3x + 4y) =
- 30.(2x² − 4x + 1)(x + 7) =
- 31.(2x² − x + 3)(3x − 9) =
- 32.(3x − 6y)(4x − 2y) =
- 33.(2x − 3y)(2x − 4y) =
- 34.(2x + 2y)(4x + 3y) =
- 35.(5x − 4y)(3x − 5y) =
- 36.(4x + 5y)(x + 2y) =
- 37.(4x − 4y)(5x + 5y) =
- 38.(4x + 7y)(3x + 8y) =
- 39.(2x² + 3x + 5)(x + 8) =
- 40.(3x² − 4x − 7)(x − 8) =
Answer key
- 3x² + xy − 14y²
- 20x² + 61xy + 45y²
- 2x³ + 18x² + 25x + 72
- 6x³ + 20x² + 28x + 24
- 2x³ − 2x² − 8x − 12
- x² − 16y²
- 8x² + 6xy − 20y²
- 6x² + 22xy + 12y²
- 3x³ + 21x² + 24x − 12
- 3x² + 21xy − 24y²
- 2x³ + 17x² − 2x + 63
- 3x³ + 8x² − 4x − 16
- 3x³ + 17x² + 12x + 10
- 2x³ + 5x² + 19x + 24
- 2x³ + 4x² + 5x + 3
- 5x² + 3xy − 14y²
- 25x² + 75xy + 54y²
- x³ + 8x² − 6x + 27
- 3x² + 13xy + 4y²
- 3x² + 22xy + 35y²
- 6x³ + 7x² − 10x − 8
- 9x² + 18xy − 7y²
- 25x² − 15xy + 2y²
- 3x³ + 5x² + 12x − 32
- 5x² − 6xy + y²
- 6x³ + 19x² − 18x + 81
- 3x³ + 26x² + 39x + 28
- 5x² + 12xy + 4y²
- 12x² + 40xy + 32y²
- 2x³ + 10x² − 27x + 7
- 6x³ − 21x² + 18x − 27
- 12x² − 30xy + 12y²
- 4x² − 14xy + 12y²
- 8x² + 14xy + 6y²
- 15x² − 37xy + 20y²
- 4x² + 13xy + 10y²
- 20x² − 20y²
- 12x² + 53xy + 56y²
- 2x³ + 19x² + 29x + 40
- 3x³ − 28x² + 25x + 56
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