Polynomial Division (AQA A-Level Mathematics): Quizzes

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Polynomial Division
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10 questions from this quiz

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What powers of xx can appear in a polynomial?

Positive integers only

In the division 72=3+12\frac{7}{2} = 3 + \frac{1}{2}, what is the quotient?

33

What is the first step when dividing x2+3x+5x+1\frac{x^2 + 3x + 5}{x + 1}?

Divide x2x^2 by xx to get xx

When dividing x2+3x+5x+1\frac{x^2 + 3x + 5}{x + 1}, what is the result?

x+2+3x+1x + 2 + \frac{3}{x + 1}

Using Remainder Theorem, what is f(2)f(-2) if f(x)=x39x2+7x+33f(x) = x^3 - 9x^2 + 7x + 33?

25-25

When is (xa)(x - a) a factor of f(x)f(x) according to Factor Theorem?

When f(a)=0f(a) = 0

What is the quotient when dividing x3+5x2+3x4x+5\frac{x^3 + 5x^2 + 3x - 4}{x + 5}?

x2+3x^2 + 3

For x26x11=0x^2 - 6x - 11 = 0, what are the solutions?

3±253 \pm 2\sqrt{5}

What denominator orders are used in Year 2 polynomial division?

Linear or greater

In 2x429x240x40x23x8\frac{2x^4-29x^2-40x-40}{x^2-3x-8}, what form does the remainder take?

23xx23x8\frac{23x}{x^2-3x-8}

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