The factor theorem (HSC SSCE Mathematics Extension 1): Quizzes

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The Factor Theorem
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What does the Factor Theorem state?

P(a) = 0 implies (x - a) is a factor

What is a zero of a polynomial?

A value where P(x) = 0

What is the significance of the Factor Theorem?

It simplifies polynomial solving

Which of the following best defines a rational zero?

A zero that can be expressed as a fraction

What does P(2) = 0 indicate?

(x - 2) is a factor of P(x)

What is the first step in finding zeros?

Evaluate P(a) at rational zeros

What does polynomial division confirm?

The factors of the polynomial

What does the Rational Root Theorem help identify in a polynomial equation?

Potential rational roots based on factors

What is a double zero?

A zero that appears twice

What is the outcome of P(1) = 0?

(x - 1) is a factor

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