Factorising (VCE SSCE Mathematical Methods): Quizzes

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Factorising
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Factorising is the reverse process of which operation?

Expanding brackets

How many main types of factorisation are covered?

Four

What is the common factor in 7x2y35xy27x^2y - 35xy^2?

7xy7xy

The grouping method works for expressions containing how many terms?

Four terms

What is the difference of two squares identity?

a2b2=(a+b)(ab)a^2 - b^2 = (a + b)(a - b)

Does the difference of two squares identity work for addition?

No, only for subtraction

For monic quadratic x2+bx+cx^2 + bx + c, two numbers must multiply to cc and do what to bb?

Add to bb

In the ac method for ax2+bx+cax^2 + bx + c, what does acac represent?

Product of first & last coefficients

Why extract common factors first when factorising quadratics?

Can turn non-monic into simpler monic

What is 3x2753x^2 - 75 factorised completely?

3(x+5)(x5)3(x + 5)(x - 5)

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