Practice Worked Examples (1.5) - Factorization - IB 10 Mathematics

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6 sample questions

Question 1.
Factorize x^2 - 16.
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Look for a difference of squares.
Question 2.
Factorize x^2 + 10x + 25.
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Recognize a perfect square trinomial.
3Question 3.
What is the factored form of 4x^2 - 25?
- (2x - 5)(2x + 5)
- (2x + 5)(2x + 5)
- 2(2x - 5)
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Use the difference of squares identity.
4Question 4.
True or False: The expression x^3 + 8 can be factored using a difference of squares.
- True
- False
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Remember the difference and sum of cubes formulas.
Question 5.
Factor the expression completely: 3x^4 + 12x^3 + 12x^2.
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Look for the common factor first and then break down the quadratic.
Question 6.
Factor the polynomial: x^4 - 16.
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Start with the difference of squares and follow by factoring again if needed.

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