Question

Dont do question A
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Answer 1

a) Factors of
`x^2-2x=x(x-2)`

b) Factors of
`6x^2+12x=6x(x+2)`

c) Factors of
`3x^3-9x=3x(x^2-3)`

d) Factors of
`4x^2+28x^3=4x^2(1-7x)`

Explanation:

We need to factorise

a)
`x^2-2x`

Taking x common:

`x^2-2x\\=x(x-2)`

So factors of
`x^2-2x=x(x-2)`

b)
`6x^2+12x`

Taking 6x common:

`6x^2+12x\\=6x(x+2)`

So factors of
`6x^2+12x=6x(x+2)`

c)
`3x^3-9x`

Taking 3x common:

`3x^3-9x\\=3x(x^2-3)`

So factors of
`3x^3-9x=3x(x^2-3)`

d)
`4x^2+28x^3`

Taking 4x common

`4x^2+28x^3\\=4x^2(1+7x)`

So factors of
`4x^2+28x^3=4x^2(1-7x)`