Practice Factorisation Of Polynomials (9) - Polynomials - IB 10 Mathematics

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6 sample questions

Question 1.
Factor $x^2 - 4$ .
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Look for the difference of squares.
Question 2.
Factor out the common term in $3x^2 + 6x$ .
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What is common in both terms?
3Question 3.
What is the factorization of $x^2 - 1$ ?
- \$(x - 1)(x + 1)\$
- \$(x^2 - 1)\$
- \$x^2 + 1\$
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Recall the difference of squares identity.
4Question 4.
True or False: The Factor Theorem states that if $P(a) = 0$ , then $x - a$ is a factor of $P(x)$ .
- True
- False
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Think about what it means for a polynomial to equal zero.
Question 5.
Factor the polynomial completely: $x^4 - 16$ .
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What identity can help with differences of squares?
Question 6.
Determine and factor any missing terms in the polynomial $x^2 - 10x + 24 = 0$ . What do the roots represent in context?
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What methods can be used to find these roots?

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