All subjects / Technical Mathematics Grade 10 / Algebraic Expressions & FactorisationTechnical Mathematics · Grade 10 CAPS
Algebraic Expressions & Factorisation
Algebraic Expressions & Factorisation is one of 9 topics in the Grade 10 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. Expand ( x + 3 ) ( x + 5 )
Answer: x^2 + 8x + 15 — (x+3)(x+5) = x^2+5x+3x+15 = x^2+8x+15.
Easy
2. What does the acronym FOIL stand for when multiplying two binomials?
First, Outer, Inner, Last Factor, Order, Include, List First, Only, Inner, Last Factor, Outer, Include, Last Answer: First, Outer, Inner, Last — FOIL stands for First, Outer, Inner, Last -- the four pairwise products when multiplying two binomials.
Medium
3. Expand ( x + 2 ) ( x 2 + 3 x + 4 )
Answer: x^3 + 5x^2 + 10x + 8 — x(x^2+3x+4)+2(x^2+3x+4) = x^3+3x^2+4x+2x^2+6x+8 = x^3+5x^2+10x+8.
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