Polynomial Division (Edexcel A-Level Mathematics): Quizzes

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Polynomial Division
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12 questions from this quiz

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Which of the following is a polynomial?

x3+2x2+5x^3 + 2x^2 + 5

When 72\frac{7}{2} is expressed as 3+123 + \frac{1}{2}, what is the quotient?

33

What is the first step when dividing (x2+3x+5)(x^2 + 3x + 5) by (x+1)(x + 1)?

Divide x2x^2 by xx

What is x2+3x+5x+1\frac{x^2 + 3x + 5}{x + 1} equal to?

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

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

19-19

Using the Remainder Theorem, how do you find the remainder when f(x)f(x) is divided by (x+2)(x+2)?

Substitute x=2x=-2 into f(x)f(x)

How do you show that (x3)(x-3) is a factor of f(x)f(x) using the Factor Theorem?

Show f(3)=0f(3) = 0

If f(x)=(x3)(x26x11)f(x) = (x-3)(x^2-6x-11), what equation must be solved to find the other roots?

x26x11=0x^2 - 6x - 11 = 0

What are the solutions to x26x11=0x^2 - 6x - 11 = 0 in simplest form?

x=3±25x = 3 \pm 2\sqrt{5}

What is the difference between Year 1 and Year 2 polynomial division?

Year 2 allows non-linear divisors

What is x4+3x3+9x12x+2\frac{x^4+3x^3+9x-12}{x+2} simplified?

x32x2+7x52x+2x^3-2x^2+7x-5-\frac{2}{x+2}

When dividing by x23x8x^2-3x-8, what is the remainder in 2x429x240x40x23x8\frac{2x^4-29x^2-40x-40}{x^2-3x-8}?

23x23x

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