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Example 15: Factorise x3 – 23×2 + 142x – 120. Example 14 Example 16 Prerequisite These could be little tricky questions for students to solve. Believe me, there is nothing difficult to understand in these questions. Such questions are a mix…
Read MoreExample 14: Factorise y2 – 5y + 6 by using the Factor Theorem. Example 13 Example 15 Prerequisite Once again!!! Factor theorem should be understood. Factor theorem
Read MoreExample 13: Factorise 6×2 + 17x + 5 by splitting the middle term, and by using the Factor Theorem. Part 1 – By splitting the middle term Part 2 – Using Factor theorem Example 12 Example 14 Prerequisite Factorising a quadratic…
Read MoreExample 12: Find the value of k, if x – 1 is a factor of 4×3 + 3×2 – 4x + k. Example 11 Example 13 Prerequisite Just like we applied Factor theorem in previous question, this question is also solved…
Read MoreExample 11: Examine whether x + 2 is a factor of x3 + 3×2 + 5x + 6 and of 2x + 4. Example 10 Example 12 Prerequisite To check whether a linear polynomial is a factor of another polynomial of degree…
Read MoreQuestion 5: Factorise : (i) x3 – 2×2 – x + 2 (ii) x3 – 3×2 – 9x – 5 (iii) x3 + 13×2 + 32x + 20 (iv) 2y3 + y2 – 2y – 1 Question 4 Ex: 2.5 | Question 1 Prerequisite…
Read MoreQuestion 4: Factorise : (i) 12×2 – 7x + 1 (ii) 2×2 + 7x + 3 (iii) 6×2 + 5x – 6 (iv) 3×2 – x – 4 Question 3 Question 5 Prerequisite Factorisation of a 2 degree polynomial (quadratic polynomial) is one of…
Read MoreQuestion 3: Find the value of k, if x – 1 is a factor of p(x) in each of the following cases: (i) p(x) = x2 + x + k (ii) p(x) = 2×2 + kx + √2 (iii) p(x)…
Read MoreQuestion 2: Use the Factor Theorem to determine whether g(x) is a factor of p(x) in each of the following cases: (i) p(x) = 2×3 + x2 – 2x – 1, g(x) = x + 1 (ii) p(x) = x3 +…
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