Quadratic Inequalities (AQA A-Level Mathematics): Quizzes

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Quadratic Inequalities
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What must one side equal when writing a quadratic inequality in standard form?

0

Why do we find roots of ax2+bx+c=0ax^2 + bx + c = 0 when solving inequalities?

Roots divide number line into intervals

For >> or << inequalities, what circles are used when graphing the solution?

Open circles

How many regions do two roots divide the number line into?

Three regions

For an upward parabola, what is the sign pattern of the three regions?

Positive, negative, positive

What is the solution to x24x5<0x^2 - 4x - 5 < 0 with roots x=1x = -1 and x=5x = 5?

1<x<5-1 < x < 5

When should the quadratic formula be used for solving inequalities?

When it doesn't factorize easily

What indicates a downward-facing parabola in ax2+bx+cax^2 + bx + c?

Negative aa

For 3x2+10x+33x^2 + 10x + 3, which factor pair of 9 adds to 10 for factoring?

(1, 9)

What polynomial degree should be selected in calculator mode for quadratic inequalities?

2

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