Practice Remainder Theorem (7) - Polynomials - IB 10 Mathematics

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6 sample questions

Question 1.
Calculate the remainder of P(x) = x^2 + 2x + 1 when divided by x - 1.
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Evaluate P(1).
Question 2.
What is the remainder of P(x) = 2x^2 - 3x - 5 when divided by x + 3?
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Evaluate P(-3).
3Question 3.
What is the Remainder Theorem?
- The remainder of dividing any polynomial is zero
- The remainder when dividing P(x) by x-a is P(a)
- The divisor must be a polynomial of degree 2
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Remember the relationship between the polynomial and its evaluator.
4Question 4.
If P(2) = 0, which statement is true?
- True
- False
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Think about what the Factor Theorem states.
Question 5.
For a polynomial P(x) = 2x^3 + 3x^2 - 12x + 5, find the remainder when divided by x - 4.
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Substitute a = 4 into the polynomial and calculate.
Question 6.
If P(x) = x^4 - 16 and we want to divide it by x - 2, what is the remainder?
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Evaluate P at x = 2.

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