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Question 1: Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients. (i) x2 –2x–8 (ii) 4s2 –4s+1 (iii) 6×2 –3–7x (iv) 4u2 +8u (v) t2 –15 (vi) 3×2 –x–4 Question 2:…
Read MoreExample 1: Look at the graphs in Fig. 2.9 given below. Each is the graph of y = p(x), where p(x) is a polynomial. For each of the graphs, find the number of zeroes of p(x). Example 2: Find the…
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Synthetic division of polynomials – Part 2: In the first part we learned about dividing a polynomial with a linear polynomial. In this tutorial we are going learn how to divide a single variable polynomial with a non-linear polynomial (a…
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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
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