Factorising and Manipulation of Formulae (Junior Cert Mathematics): Quizzes

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Factorising
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What is factorising in algebra?

Breaking into simpler parts that multiply

What is the HCF of 6x26x^2 and 9x9x?

3x3x

Factorise: ab2a2b+3ab2ab - 2a^2b + 3ab^2

ab(12a+3b)ab(1 - 2a + 3b)

What is the HCF of 12a3b212a^3b^2, 8a2b38a^2b^3 and 4ab44ab^4?

4ab24ab^2

When should you use factorising by grouping?

When expression has four terms

Factorise: 2pr2ps+qrqs2pr - 2ps + qr - qs

(2p+q)(rs)(2p + q)(r - s)

When grouping terms, what must the binomials do?

Match exactly

What pattern is a2b2a^2 - b^2?

Difference of two squares

What is the formula for a2b2a^2 - b^2?

(ab)(a+b)(a - b)(a + b)

Factorise: 94y29 - 4y^2

(32y)(3+2y)(3 - 2y)(3 + 2y)

What is the general form of a quadratic trinomial?

ax2+bx+cax^2 + bx + c

To factorise ax2+bx+cax^2 + bx + c, find two numbers that multiply to what?

acac

Factorise: x210x+21x^2 - 10x + 21

(x7)(x3)(x - 7)(x - 3)

Factorise: 2x25x+32x^2 - 5x + 3

(2x3)(x1)(2x - 3)(x - 1)

What should you always check first when factorising?

If there's a common factor (HCF)

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