Last updated on Sep 20, 2026

The Language of Polynomials (VCE SSCE Mathematical Methods): Quizzes

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The Language of Polynomials

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Which polynomial is monic?

$x^3 + 5x - 2$

What is the degree of $P(x) = 3x^5 + 2x^2 - 7$ ?

5

What is the constant term in $P(x) = 4x^2 - 3x + 7$ ?

7

If $P(x) = x^4 - 3x^3 - 2$ , what is $P(1)$ ?

-4

What is true about powers when evaluating at negative values?

Even powers give positive results

If $P(x) = x^3 + 3x^2 + 2$ and $Q(x) = 2x^2 + 4$ , find $P(x) + Q(x)$ .

$x^3 + 5x^2 + 6$

For polynomials $f$ and $g$ , what is $\deg(f \times g)$ ?

$\deg(f) + \deg(g)$

If $P(x) = x^3 + 3x^2 + 2$ and $Q(x) = 2x^2 + 4$ , find $P(x) - Q(x)$ .

$x^3 + x^2 - 2$

If two polynomials are equal for all $x$ , what must be true?

Corresponding coefficients are equal

What is the leading term of $P(x) = 3x^5 + 2x^2 - 7$ ?

$3x^5$

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