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Show that (𝑥 − 1) is a factor of 𝑓(𝑥)=2𝑥^3 + 𝑥^2 − 8𝑥+ 5. Hence fully factorise 𝑓(𝑥) fully.

For the show that part of the question simply substitute all the 𝑥's in 𝑓(𝑥) with 1, as the factor 𝑥 − 1 means that 𝑥 - 1 = 0 therefore 𝑥 = 1. Once substituted in solve the equation and show that it is e...

Answered by Charlotte B. Maths tutor
2022 Views

Solve 3x+7=8

First we would rearrange so that all non variables are on one side, so it becomes 3x=-1The dividing both sides we get:x=-1/3

Answered by Darshan P. Maths tutor
2016 Views

Find the complex solutions for the following equation: -3x^2+4x+4=0

  1. -3x2+4x+4 = 0 using factorisation find the quadratic in the form (-3x+a)(x+b)=0 find two numbers (a and 3b) that have a product of 4 and a sum of 4 a =2 and 3b =2 ➔ a =2 and b =2/3 (-3x+2...
Answered by Charlotte R. Maths tutor
2889 Views

A pyramid has a square base with sides of length 4m and a height 3m. What is the length from one of the base corners to the top of the pyramid?

The student should first draw a diagram of the pyramid, labelling the lengths of the base and the height. The student is not able to solve this problem in one step but must think two steps ahead. The stud...

Answered by Nathan H. Maths tutor
2412 Views

Prove n^3-n is multiple of 6 for all n

factoring gives form n(n+1)(n-1) from here it should be realised that if n is not a multiple of 3 then n-1 is or n+1 is as multiples of 3 go up in 3s. Hence one of the values either n,n-1 or n+1 must be m...

Answered by Adithya N. Maths tutor
5338 Views

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