Practice Factorisation Of Polynomials (2.4) - Polynomials

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8 questions

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Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
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Quiz
2 questions · about 1 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
Is (x - 3) a factor of the polynomial p(x) = x² - 5x + 6? Show how you determined this.
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Use the Factor Theorem to evaluate p(3).
Question 2.
What are the roots of the polynomial x² - 4?
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Factor it as (x - 2)(x + 2) and find the roots.
3Question 3.
What does the Factor Theorem state?
- If p(a) = 0
- then (x - a) is a factor.
- If (x - a) is a factor
- then p(a) = 0.
- Both A and B.
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Think about the definitions we covered.
4Question 4.
True or False: A zero of the zero polynomial is undefined.
- True
- False
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Recall the discussion on the zero polynomial.
Question 5.
Using the cubic polynomial p(x) = x³ - 7x² + 14x - 8, find all factors.
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Find one root first.
Question 6.
Determine the value of k so that x + 3 is a factor of 2x³ + kx² - 5x + 6.
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Use synthetic division after substituting -3.

4 more questions in this section. Enroll free to practise them all.