ok, so i can't see an easy way to do this one. hopefully we'll get back to it

you can use the quartic formula, but that is really a last resort, it's messy

you need to know either long division of polynomials or synthetic division to do this question.

2) (x²+6x+6)(x²+6x+8) = 528

-8, 2, - 3 ±

Answer:i√ 21

We have

expanding the brackets and subtracting 528 from both sides, we get:

trying the factors of 480, we find that is a root of the above quartic, thus, by the factor theorem, is a factor.

performing polynomial long division/synthetic division on the above, we find that:

trying the factors of 240, we find that is a root of the above cubic, thus by the factor theorem, is a factor.

performing polynomial long division/synthetic division on the above, we find that:

For the first two equations, obviously and are the roots. for the quadratic, we use the quadratic formula and simplify to obtain the two remaining roots, which are

3) The height, length, and width of a small box are consecutive integers with the height being the smallest of the three dimensions. If the length and width are increased by 1cm each and the height is doubled, then the volume is increased by 120cm³.

Let the height beFind the dimensions of the original box.

Answer:3cm, 4cm, 5cm

Let the width be

Let the length be

the volume of this box is given by:

if the length and width are increased by 1 and the height is doubled, the volume, V, increases by 120.

This means that

but

so we must have:

solve the above for and you can find the dimensions of the original box