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Technical Mathematics · Grade 12 CAPS

Polynomials

Polynomials is one of 9 topics in the Grade 12 Technical Mathematics CAPS syllabus, covered across 3 lessons on Study Vault. Below are real practice questions from this topic with full worked answers.

Sample practice questions

Easy

1. What is the degree of the polynomial f(x) = 5x^4 - 2x^2 + x - 9?

Answer: 4 — The degree of a polynomial is the highest power of x with a non-zero coefficient, which is 4 here.
Easy

2. For f(x) = x^2 - 3x + 2, find f(4).

Answer: 6 — f(4) = (4)^2 - 3(4) + 2 = 16 - 12 + 2 = 6.
Medium

3. Factorise x^2 - 7x + 12.

Answer: (x - 3)(x - 4) — Look for two numbers multiplying to 12 and adding to -7: -3 and -4. So x^2 - 7x + 12 = (x - 3)(x - 4).
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