Solving Quadratic Equations (Edexcel A-Level Mathematics): Flashcards

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Solving Quadratic Equations
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When factoring x2+bx+cx^2 + bx + c: two numbers multiply to? add to?

Multiply to cc, add to bb

x26x16x^2 - 6x - 16 in factored form

(x+2)(x8)(x + 2)(x - 8)

First step factoring ax2+bx+cax^2 + bx + c when a1a \neq 1

Multiply a×ca \times c

4x2+8x+34x^2 + 8x + 3 in factored form

(2x+3)(2x+1)(2x + 3)(2x + 1)

6p2+5p16p^2 + 5p - 1 in factored form

(p+1)(6p1)(p + 1)(6p - 1)

8x2+19x+68x^2 + 19x + 6 in factored form

(8x+3)(x+2)(8x + 3)(x + 2)

After finding number pair (when a1a \neq 1): what to do with middle term?

Split it using the pair of numbers

How to solve after factoring

Set each factor to zero and solve

Solutions to 6+23x4x2=06 + 23x - 4x^2 = 0

x=6x = 6 or x=14x = -\frac{1}{4}

Calculator: mode for solving quadratics

Equation-solving mode, Polynomial, degree 2

Calculator: inputs needed for quadratic

Coefficients aa, bb, cc

When to use calculator vs manual for quadratics?

Calculator saves time; manual working earns method marks

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