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Polynomials Class 8 Math Worksheet – 30 Marks
[Polynomials]
(1) What constants are used in the following expressions? [1 × 4] = 4
(i) 7×2 – 3
(ii) 4×2 + 2y + 5
(iii) 6y + 3x – 2z
(iv) 7x – 4y + 3z
(2) Write the variables taken in the equations. [1 × 4] = 4
(i) 7y2 – 2y + 3 = 0
(ii) x2 – x – 1= 0
(iii) 2x – 1 = 0
(iv) y + x = 3
(3) Add: [1 × 3] = 3
(i) a3 – 2a2 b + b3, 4a3 + 2ab2 + 6a2 b, 2b3- 5a3 – 4a2 b
(ii) 1 + 2x + 3×2, 3x – 8 – 2×2, x2 – 5x + 8
(iii) a3 + 2a2 – 6a + 5, a3 + 2a + 3, 2a3 + 2a – a2 – 4
(4) Subtract 2x + 8 – 2×2 from the sum of x3 + x2 – 2x and 2×3 + 5x – 9 [1 × 2] = 2
(5) Simplify: [1 × 4] = 4
(i) (m3 + m2 – 16m – 26) ÷ (m + 2)
(ii) (m3 – n3) ÷ (m – n)
(iii) (m3 – 19m – 30) ÷ (m+3)
(iv) (16×5 + 4×3 – 4×2 + 3x – 1) ÷ (4×2 – 2x + 1)
(5) If A = x2 – yz, B = y2 – x z and C = z2 – xy, then find AB, BC, AC and ABC. [1 × 2] = 2
(6) Solve: [1 × 3] = 3
(i) (b2 – 5 ) (-b2+ 5 )
(ii) (a4 + a – 2) ÷ (a – 1)
(iii) (6a3 + a2 – 26) – (9 + 3a2 – 5a3)
(7) Find the product of the following polynomials. [1 × 3] = 3
(i) (x + y + z) (x2 + y2 + z2 – xy – yz – zx)
(ii) (m + 3) (m2 – 3m + 9)
(iii) (3m2 – 7m + 5) (4m2 – 2m + 1)
(8) Separate the polynomials as linear, quadratic, cubic and biquadratic. [1 × 5] = 5
(i) b2 – b
(ii) a2 + ab + 6
(iii) a2b2 + ab
(iv) a + b
(v) a3 + a2 – 2