Cubic Polynomials (Grade 12 NSC Matric Mathematics): Quizzes

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Cubic Polynomials
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What is the polynomial division algorithm formula?

a(x)=b(x)×Q(x)+R(x)a(x) = b(x) \times Q(x) + R(x)

What is the degree of a cubic polynomial?

3

In the general form y=ax3+bx2+cx+dy = ax^3 + bx^2 + cx + d, what must be true about aa?

a≠0a \neq 0

What is the leading coefficient in y=ax3+bx2+cx+dy = ax^3 + bx^2 + cx + d?

aa

Which three methods factorise cubic polynomials?

Long division, synthetic division, inspection

When can synthetic division be used?

Divisor is linear with coefficient of xx = 1

When dividing by (x−1)(x - 1) using synthetic division, what value do you use?

+1+1

In synthetic division, what do you do with coefficients?

Add them

What is an advantage of synthetic division over long division?

Faster and less prone to arithmetic errors

What must you do if the divisor is 2x−12x - 1 for synthetic division?

Factor out 2 and use x−12x - \frac{1}{2}

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