1.2 Algebra and Functions

33%

$g(x) = 4x^3 - 8x^2 - 35x + 75$

a.

Use the factor theorem to show that $(x + 3)$ is a factor of $g (x)$

[2]

b.

Hence show that $g (x)$ can be written in the form $g(x) = (x + 3)(ax + b)^2$ , where $a\,$ and $b\,$ are constants to be found.

[4]

33%

$g(x) = 4x^3 - 8x^2 - 35x + 75$

a.

Use the factor theorem to show that $(x + 3)$ is a factor of $g (x)$

[2]

b.

Hence show that $g (x)$ can be written in the form $g(x) = (x + 3)(ax + b)^2$ , where $a\,$ and $b\,$ are constants to be found.

[4]

1.2 Algebra and Functions Questions