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f(x)=x^3 + x^2 -10x +8 show that (x-1) is a factor of f(x), Factorise f(x) fully , sketch the graph of f(x)

f(1)=0

f(x)=(x-1)(x+4)(x-2)

DA
Answered by Deborah A. Maths tutor
6148 Views

Make a the subject of: (a+3)=(2a+7)/r

Equation: a+3 = (2a+7)/r

First, we want to rearrange the equation, so that the 'r', which is the denominator of the right hand side, multiplies with (a+3), creating r(a+3) = 2a+7. ...

JM
Answered by Jana M. Maths tutor
13486 Views

Given that y = 4x^3 – 5/(x^2) , x =/= 0, find in its simplest form dy/dx.

We are given: y = 4x^3  – 5/(x^2) To find the dy/dx we are going to use the power rule, from the power rule differentiating x^n gives n*x^n-1, so from our equation differetiating x^3 will give 3x^2, but w...

MA
Answered by Mohamed A. Maths tutor
5435 Views

How can you express the complex number z = 2 + 3i in the form z = r(cos x + i sinx)

First you want to draw the complez number on to an argand diagram, using which you will find the modulus and argument. This is how to do so: The modulus is to be obtained using pythagoras (which will be e...

MB
Answered by Meghali B. Maths tutor
9306 Views

Solve for x in the following equation using the quadratic formula, completing the square and factoring method: 2x^2-x-1=0

x=-1/2 and x=1

RC
Answered by Ravinder C. Maths tutor
3468 Views

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