Top answers

Maths
A Level

How do you use factor theorem to show an algebraic term is a factor of a polynomial?

For example show that x + 3 is a factor of p(x) = x- 5x2 - 8x + 48

We need to show that when x = -3, p(x) = 0. If this is the case then x + 3 is a factor of p(x)

putt...

ET
Answered by Elliot T. Maths tutor
3891 Views

How come x^2 = 25 has 2 solutions but x=root(25) only has one? Aren't they the same thing?

(This is something that I didnt fully understand for quite a while at school.) So when we are solving x2=25, in order to get x "on it's own" we square root both sides. However the def...

DJ
Answered by Dylan J. Maths tutor
7869 Views

How would I find a the tangent of a point on a line?

You will end up with an equation with the form y = mx + c you should be familiar with from GCSE First you would need to differentiate the equation of the line For example if you had f(x) = x+...

SG
Answered by Simon G. Maths tutor
3264 Views

Find the equation of the tangent to the curve y = 3x^2(x+2)^6 at the point (-1,3), in the form y = mx+c

Curve: y = 3x2(x+2)6 Coordinate: (-1, 3)

This is typically a C3/4 level question because of the differentiation, but the rest of t...

BK
Answered by BUNEME K. Maths tutor
12236 Views

Integrate sin(x)cos(x)^2 from 0 to π/2

Use substitution u=cos(x) resulting in du=-sin(x)dx: ∫0π/2sin(x)cos(x)^2dx = ∫0π/2-u^2du = [-1/3 u^3]x=0x=π/2 = [-1/3 cos(x)^3]0

BS
Answered by Benedek S. Maths tutor
8891 Views

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