Polynomials (G11)

question 1 of 10 Grade: Eleven - G11
question 1 of 10 Grade: Eleven - G11

Q: If \(x - 3\) is a factor of \(x^3 - kx^2 + 5x - 6\), find the value of k

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Did You Know?

The common ratio (r) in a geometric sequence is the constant value by which each term is multiplied to get the next term. To find it, divide any term by the term before it. Method: r = (second term) ÷ (first term). Calculation: r = 6 ÷ 2 = 3. Verification: Check with other consecutive terms: 18 ÷ 6 = 3 ✓, 54 ÷ 18 = 3 ✓. The common ratio is 3, meaning each term is 3 times the previous term. Important distinction from AP: In arithmetic sequences, you ADD the common difference; in geometric sequences, you MULTIPLY by the common ratio. This is a fundamental concept in ECZ examinations. Geometric sequences appear in Paper 1 and Paper 2, often in contexts involving exponential growth or decay such as population growth, compound interest, radioactive decay, or bacterial multiplication. Similar to the ECZ 2016-2018 past papers where GP concepts are heavily tested.

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