Partial Fractions (Edexcel A-Level Mathematics): Quizzes

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Linear Denominators
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What is the typical form of a linear expression in the context of linear denominators?

ax+bax + b

What is the degree of a linear expression?

11

What is the first step in simplifying a fraction with a linear denominator?

Find the GCF of numerator & denominator

What does 2x+6x+3\frac{2x + 6}{x + 3} simplify to?

22

What is the common denominator for 1x+2\frac{1}{x + 2} and 3x1\frac{3}{x - 1}?

(x+2)(x1)(x + 2)(x - 1)

What is 1x+2+3x1\frac{1}{x + 2} + \frac{3}{x - 1} equal to?

4x+5(x+2)(x1)\frac{4x + 5}{(x + 2)(x - 1)}

What is the first step to solve equations with linear denominators?

Multiply by the LCD to eliminate fractions

What is the LCD for the equation 2x+1+3x2=1\frac{2}{x + 1} + \frac{3}{x - 2} = 1?

(x+1)(x2)(x + 1)(x - 2)

After simplifying 2x+1+3x2=1\frac{2}{x + 1} + \frac{3}{x - 2} = 1, what quadratic equation is formed?

x26x1=0x^2 - 6x - 1 = 0

What are the solutions to x26x1=0x^2 - 6x - 1 = 0 using the quadratic formula?

x=3±10x = 3 \pm \sqrt{10}

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