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Factorise x^3-6x^2+9x.

x^3-6x^2+9x=x(x^2-6x+9) observe binomial formula (x-3)^2=(x^2-6x+9) Thus x(x-3)^2 and the function has two points meeting the x-axis.
EG
Answered by Evita G. • Maths tutor
16008 Views

Given df/dx=2x+3 and the graph goes through (1,1), what is the function f?

First step: integrate int df/dx = x^2+3x+c (never forget the constant!) Second step: substitute the point in order to get c 1 = (1)^2+3*1+c -> c = 1-1-3=-3 Thus, f = x^2+3x-3
EG
Answered by Evita G. • Maths tutor
5260 Views

Expand and simplify (5x – 2y)(3x – 4y)

Expand and simplify (5x – 2y)(3x – 4y) In this question, we are asked to 'expand' out the brackets. What this means is we need each term in one set of brackets (5x and -2y) to be multiplied by each term in t...
JL
Answered by Jamie L. • Maths tutor
11333 Views

Explain the Principle of Moments.

The moment of a force about any point is defined as the force x perpendicular distance from the line of action of the force to the point - moment = F x d the unit is Nm. Principle of moments states that for ...
CD
Answered by Chris D. • Maths tutor
19373 Views

What is the difference between a scalar and vector quantity?

Scalars have a magnitude (size) only. Vectors have both magnitude and direction.
CD
Answered by Chris D. • Maths tutor
7675 Views