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Factorise and simplify (6x-42)/((x^2)-49)

When we factorise, we are trying to put a long expression into a couple of brackets to make it neater and easier to work with. It is the opposite to multiplying out brackets. To start off with, we will fa...

Answered by Robert S. • Maths tutor

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If s=ut + 1/2 at^2 , a) make a the subject of the expression b) make u the subject of the expression c) if s=10, t=2 and u=4 find the value of a

a) s=ut + 1/2 at²Firstly , take the ut to the left hand side of the equation in order to isolate the 1/2 at².s-ut=1/2 at² Then multiply both sides by 2 to leave just at

Answered by Freddy Y. • Maths tutor

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Given that F(x) = X^2 - 10X + 17. Write F(x) in the form of (x+a)^2 + b = 0, where a, & b are constants.

So we know that our equation is: X²- 10X +17 = 0. STEP 1: rearrange this equation to get x on one side: X²- 10X = -17. Lets call this, "equation 1". STEP 2: Understand th...

Answered by Rumit M. • Maths tutor

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Let p(x) = 30 x^3 -7 x^2 - 7 x + 2. Prove that (2x + 1) is a factor of p(x) and factorise p(x) completely.

Using the Factor Theorem, we know that (2x + 1) = 2(x + 1/2) = 2(x - (-1/2) ) is a factor of p(x) if and only if p(-1/2) = 0, which is true. Now that we know a factor of ...

Answered by • Maths tutor

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proof for the derivative of sin(x) is cos(x) (5 marks)

let f(x)=sin x f'(x) lim h-> 0 = ( sin(x+h) - sin(x))/h. f'(x) lim h-> 0 =( sin(x)cos(h) + cos(x)sin(h) - sin(x))/ h. f'(x) lim h-> 0=(sin(x)(cos(h)-1)/h + cos(x) (sin(h))/h. then as h tends to z...

Answered by Nicola P. • Maths tutor

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