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.(2x + 5y)(2x − 6y) =
- 2.(4x + 2y)(2x + 9y) =
- 3.(3x² − 5x − 8)(3x + 7) =
- 4.(2x + 6y)(5x + 6y) =
- 5.(3x + y)(3x + 2y) =
- 6.(3x + y)(5x − 5y) =
- 7.(5x + 9y)(4x + y) =
- 8.(2x + 8y)(2x + 5y) =
- 9.(3x² − 5x − 4)(x + 5) =
- 10.(3x + 6y)(2x + 9y) =
- 11.(2x + 2y)(5x − y) =
- 12.(5x + 6y)(4x − 3y) =
- 13.(3x + 8y)(x + 2y) =
- 14.(x² + 3x + 4)(3x − 4) =
- 15.(3x + 2y)(x + 5y) =
- 16.(x² − 3x + 2)(2x + 8) =
- 17.(2x² + 3x + 3)(3x + 8) =
- 18.(2x² + 5x + 1)(x − 8) =
- 19.(3x² + x + 3)(2x + 9) =
- 20.(2x² + 4x + 5)(2x + 4) =
- 21.(x² + 4x − 3)(2x + 6) =
- 22.(3x² − 2x − 5)(x + 1) =
- 23.(x + 5y)(x − 9y) =
- 24.(x² + 5x + 5)(x + 1) =
- 25.(2x + y)(4x + 4y) =
- 26.(3x² − 3x + 6)(x − 1) =
- 27.(x − 5y)(x + 5y) =
- 28.(2x² + 4x + 6)(x − 8) =
- 29.(3x + 2y)(5x − y) =
- 30.(2x² + x + 6)(3x − 2) =
- 31.(x + y)(2x − 5y) =
- 32.(2x + 4y)(x − 3y) =
- 33.(x² + 4x − 3)(2x + 6) =
- 34.(3x − 8y)(2x − 2y) =
- 35.(5x + 6y)(5x − 3y) =
- 36.(3x² + 4x + 3)(3x + 4) =
- 37.(5x + 8y)(x + 9y) =
- 38.(2x + 5y)(2x − 4y) =
- 39.(2x + 9y)(x + 6y) =
- 40.(3x + 9y)(2x + 7y) =
Answer key
- 4x² − 2xy − 30y²
- 8x² + 40xy + 18y²
- 9x³ + 6x² − 59x − 56
- 10x² + 42xy + 36y²
- 9x² + 9xy + 2y²
- 15x² − 10xy − 5y²
- 20x² + 41xy + 9y²
- 4x² + 26xy + 40y²
- 3x³ + 10x² − 29x − 20
- 6x² + 39xy + 54y²
- 10x² + 8xy − 2y²
- 20x² + 9xy − 18y²
- 3x² + 14xy + 16y²
- 3x³ + 5x² − 16
- 3x² + 17xy + 10y²
- 2x³ + 2x² − 20x + 16
- 6x³ + 25x² + 33x + 24
- 2x³ − 11x² − 39x − 8
- 6x³ + 29x² + 15x + 27
- 4x³ + 16x² + 26x + 20
- 2x³ + 14x² + 18x − 18
- 3x³ + x² − 7x − 5
- x² − 4xy − 45y²
- x³ + 6x² + 10x + 5
- 8x² + 12xy + 4y²
- 3x³ − 6x² + 9x − 6
- x² − 25y²
- 2x³ − 12x² − 26x − 48
- 15x² + 7xy − 2y²
- 6x³ − x² + 16x − 12
- 2x² − 3xy − 5y²
- 2x² − 2xy − 12y²
- 2x³ + 14x² + 18x − 18
- 6x² − 22xy + 16y²
- 25x² + 15xy − 18y²
- 9x³ + 24x² + 25x + 12
- 5x² + 53xy + 72y²
- 4x² + 2xy − 20y²
- 2x² + 21xy + 54y²
- 6x² + 39xy + 63y²
Free vedic maths lessons, practice and worksheets at talentjr.in/vedic-maths