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The polynomial (f(x) = x^{3} + px^{2} – 10x + q) is exactly divisible…

(a) The polynomial (f(x) = x^{3} + px^{2} – 10x + q) is exactly divisible by (x^{2} +…
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Three forces (-63j , 32.14i + 38.3j) and (14i – 24.25j) act on a body…

Three forces (-63j , 32.14i + 38.3j) and (14i – 24.25j) act on a body of mass 5kg.…
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Simplify (^{n + 1}C_{4} – ^{n – 1}C_{4}) = (frac{(n + 1)!}{4! (n – 3)!}…

Simplify (^{n + 1}C_{4} – ^{n – 1}C_{4}) = (frac{(n + 1)!}{4! (n – 3)!} – frac{(n –…
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The marks scored by 35 students in a test are given in the table below….

The marks scored by 35 students in a test are given in the table below. Marks 1-5 6-10…
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The gradient function of (y = ax^{2} + bx + c) is (8x + 4)….

The gradient function of (y = ax^{2} + bx + c) is (8x + 4). If the function…
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The twenty-first term of an Arithmetic Progression is (5frac{1}{2}) and the sum of the first…

The twenty-first term of an Arithmetic Progression is (5frac{1}{2}) and the sum of the first twenty-one terms is…
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Write down the first three terms of the binomial expansion ((1 + ax)^{n}) in ascending…

Write down the first three terms of the binomial expansion ((1 + ax)^{n}) in ascending powers of x.…
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Express (3x^{2} – 6x + 10) in the form (a(x – b)^{2} + c), where…

Express (3x^{2} – 6x + 10) in the form (a(x – b)^{2} + c), where a, b and…
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 A particle is under the action of forces (P = (4N, 030°)) and (R =…

 A particle is under the action of forces (P = (4N, 030°)) and (R = (10N, 300°)). Find…
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The displacement S metres of a particle from a fixed point O at time t…

The displacement S metres of a particle from a fixed point O at time t seconds is given…
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