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Synthetic division of polynomials – Part 1: In this tutorial you will learn to divide a single variable polynomial with a linear polynomial. This is one of the easiest and shortest method of polynomial division – just in 3 lines.…
Read MoreQuestion 16: What are the possible expressions for the dimensions of the cuboids whose volumes are given below? (i) Volume : 3×2 – 12x (ii) Volume : 12ky2 + 8ky – 20k Question 15 Class 9 | Home Prerequisite To…
Read MoreQuestion 15: Give possible expressions for the length and breadth of each of the following rectangles, in which their areas are given: (i) Area : 25a2 – 35a + 12 (ii) Area : 35y2 + 13y –12 Question 14 Question…
Read MoreQuestion 14: Without actually calculating the cubes, find the value of each of the following: (i) (–123 + (7)3 + (5)3 (ii) (28)3 + (–15)3 + (–13)3 Question 13 Question 15 Prerequisite Algebraic Identities
Read MoreQuestion 13: If x + y + z = 0, show that x3 + y3 + z3 = 3xyz. Question 12 Question 14 Prerequisite Algebraic Identities
Read MoreQuestion 12: Verify that x3 + y3 + z3 – 3xyz = 1/2 (x + y + z) [ (x – y)2 + (y – z)2 + (z – x)2 ] Question 11 Question 13 Prerequisite Algebraic Identities
Read MoreQuestion 11: Factorise : 27×3 + y3 + z3 – 9xyz Question 10 Question 12 Prerequisite Algebraic Identities
Read MoreQuestion 10: Factorise each of the following: (i) 27y3 + 125z3 (ii) 64m3 – 343n3 [Hint : See Question 9.] Question 9 Question 11 Prerequisite Algebraic Identities
Read MoreQuestion 9: Verify : (i) x3 + y3 = (x + y) (x2 – xy + y2 ) (ii) x3 – y3 = (x – y) (x2 + xy + y2 ) Question 8 Question 10 Prerequisite Algebraic Identities
Read MoreQuestion 8: Factorise each of the following: (i) 8a3 + b3 + 12a2b + 6ab2 (ii) 8a3 – b3 – 12a2b + 6ab2 (iii) 27 – 125a3 – 135a + 225a2 (iv) 64a3 – 27b3 – 144a2b + 108ab2 (v)…
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