Quadratic Inequalities (Edexcel A-Level Mathematics): Quizzes

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Quadratic Inequalities
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What makes an inequality a quadratic inequality?

It has an x2x^2 term

What must equal zero when writing a quadratic inequality in standard form?

One side of the inequality

What do the roots of ax2+bx+c=0ax^2 + bx + c = 0 do to the number line?

Divide it into intervals

Which circles are used when graphing inequalities with >> or <<?

Open circles

For x2−4x−5<0x^2 - 4x - 5 < 0 with roots x=−1x = -1 and x=5x = 5, which strip is needed?

Negative strip

When should the quadratic formula be used for solving inequalities?

When it doesn't factorize easily

If the coefficient of x2x^2 is positive, which way does the parabola open?

Upwards

For 3x2+10x+33x^2 + 10x + 3, which factor pairs of 9 add to 10?

(1, 9)

For 3x2+10x+3>03x^2 + 10x + 3 > 0 with roots x=−3,−13x = -3, -\frac{1}{3}, which regions satisfy it?

x<−3x < -3 or x>−13x > -\frac{1}{3}

What polynomial degree is selected in calculator mode for quadratic inequalities?

2

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