Summary (Grade 11 NSC Matric Mathematics): Quizzes

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What does the zero product law state?

If a×b=0a \times b = 0, then a=0a = 0 and/or b=0b = 0

Solve (x−4)(x+2)=0(x - 4)(x + 2) = 0 using the zero product law.

x=4x = 4 or x=−2x = -2

What is the quadratic formula for ax2+bx+c=0ax^2 + bx + c = 0?

x=−b±b2−4ac2ax = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}

What is the formula for the discriminant?

Δ=b2−4ac\Delta = b^2 - 4ac

What does a negative discriminant (Δ<0\Delta < 0) indicate?

The roots are non-real (complex numbers)

What does a zero discriminant (Δ=0\Delta = 0) indicate?

The roots are real and equal

What does a positive discriminant (Δ>0\Delta > 0) indicate?

The roots are real and unequal

When are roots rational if Δ>0\Delta > 0?

If Δ\Delta is a perfect square

Why must a≠0a \neq 0 in the quadratic formula?

Otherwise the equation wouldn't be quadratic

What should you check before using the quadratic formula?

If the quadratic can be factorised

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