Maths Algebra

Find the roots of the following equation $~f(x)=x^3~+~x^2-12x~$

Consider the following equation:
$4x^2/y-2x^3y$
Which of the following are the same function:

$~2x(2x/y-x^2y)~$

$~4x^3y(1/y^2-1/2)~$

$~(2-xy^2)~2x^2/y$

$~(2x-x^2y^2)2x/y~$

$~2xy(2x/y-x^2)~$

Factorise the following quadratic equation:
$~2x^2-7x+6~$

$~(x-2)(x+3)~$

$~(2x-2)(x+3)~$

$~(2x-3)(x-2)~$

$~(x-2)(2x+3)~$

For the following function:
$~2x^3-3x^2-3x+4~$ . Given you are told one of the roots to this equation is $~x=-1~$ , find the other two roots.

$~x=-0.5,~x=-2~$

$~x=0.5,~x=2~$

$~x=1,~x=2~$

$~x=-1,~x=-2~$

$~x=2,~x=-1~$

Consider the following equation:
$~x^3+4x^2-9x-36~$ . Which of the following are roots to this equation?

$~x=1~$

$~x=3~$

$~x=-4~$

$~x=-2~$

$~x=2~$

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Department of Economics

Maths Algebra

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