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

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Solving Quadratic Equations
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Factor x2+bx+cx^2 + bx + c: what must 2 numbers do?

Multiply to cc, add to bb

Factor ax2+bx+cax^2 + bx + c (a≠1a \neq 1): multiply which terms?

First and last coefficients: a×ca \times c

After finding 2 numbers, what to do with xx term?

Split it using those 2 numbers

After splitting middle term, next factoring step?

Factorize each pair by grouping

Solve factored equation: what to do with factors?

Set each factor to zero, then solve

Why set factors to zero when product is zero?

One (or both) factors must be zero

Calculator mode for solving quadratics?

Equation mode, polynomial, degree 2

Input for calculator solving ax2+bx+c=0ax^2 + bx + c = 0?

Coefficients aa, bb, cc

When to use calculator for quadratics?

Save time & check, but show method for marks

Factor x2−6x−16x^2 - 6x - 16: which 2 numbers?

22 and −8-8

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