Question

7.Factorise the following expressions.


1.z² – 4z - 77

2. x² + 5x - 104

3.49x2 - 64

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Answer 1

1.z²-4z-77

z²-11z+7z-77

z(z-11)+7(z-11)

(z-11)(z+7)

2.x²+5x-104

x²-8x+13x-104

x(x-8)+13(x-8)

(x-8)(x+13)

3.49x²-64

7x²-8²

(7x-8)(7x+8)

Answer 2

Answer:

1. (z-11)(z+7)

2. (x-8)(x+13)

3. (7x+8)(7x-8)

step by step explanation

1. z^2+4z-77

= z^2+7z-11z-77

= z(z+7)-11(z+7)

= (z-11)(z+7)

2. x^2+5x-104

= x^2+13x-8x-104

= x(x+13)-8(x+13)

= (x-8)(x+13)

3. 49x^2-64

= (7x)^2-(8)^2

= (7x-8)(7x+8)

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