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Factorise the following expression: 2(x^4) + 4(x^2) - 32(x^3)

2x 2 (x 2 + 2 - 16x)
TF
Answered by Tom F. • Maths tutor
3505 Views

Can two shelves of 0.72 meters long each store 50 30mm wide textbooks?

First, convert the units so you can compare more easily. 0.72m = 72cm = 720mm So 1 shelf is 720mm and 1 textbook is 30mm wide. To find the maximum number of books that can be stored on a shelf, you divide th...
VL
Answered by Valerie L. • Maths tutor
3847 Views

How do radians work? Why can't we just keep working with degrees in school?

Degrees are a made up unit; mathematicians simply decided that a complete revolution of a circle has 360 degrees, without that number actually meaning anything. Tecnically any number could have been picked t...
HD
Answered by Hans D. • Maths tutor
2449 Views

Given f(x) = 3 - 5x + x^3, how can I show that f(x) = 0 has a root (x=a) in the interval 1<a<2?

In plain english, we need to show that there is a value of x, which we call &quot;a&quot;, in the interval 1 &lt; a &lt; 2 where f(a)=0. To prove this we start by letting x = 1: f(1) = 3 - 5(1) + 1 3 = -1. W...
GP
Answered by Giorgos P. • Maths tutor
8217 Views

When given an equation with both letters and numbers on each side of the equals sign, for instance 4x +3 = 5x - 3, how do you know what to do first?

With equations like this the most important thing is that you end up with all the numbers on one hand side and all the letters on the other side. People often think there is a 'right' and 'wrong' order to do...
SK
Answered by Sophie K. • Maths tutor
3518 Views