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Factorise x² + 2x - 8

Since an x² is produced, we know that the factorised version will be (x+a)(x+b). To find a and b we need to consider the relationship between 2 and -8. It is going to be factorised into two brackets, due to ...
HB
Answered by Hannah B. • Maths tutor
34979 Views

What is dot product and how to calculate it?

There are two ways of multiplying vectors: one gives you another vector (cross product) and the other gives you a scalar- a number, like 3, 18 or 196 352. Hence, dot product is also called the scalar product...
FW
Answered by Filip W. • Maths tutor
9123 Views

Prove that the d(tan(x))/dx is equal to sec^2(x).

You can express tan(x) as sin(x)/cos(x). Therefore, tan(x)= sin(x)/ cos(x)The quotient rule can be applied here as there is a function of x in the numerator and denominator.Quotient Rule: (v*(du/dx) - u*(dv/...
CU
Answered by Chinazam U. • Maths tutor
19898 Views

Solve the equation 4x + 2 = -5x + 20

Algebra is the enemy of many a student, but I'm here to show you that this (and many more concepts in maths!) really aren't that bad. For this problem, we need to group all of the like terms together, that i...
BJ
Answered by Ben J. • Maths tutor
6531 Views

What is the general rule for differentiation?

In differentiation you multiply the coefficient of the subject (what the value is multiplied by e.g. 3 is the coefficient of 3x 6 ) by its exponent (the power that the value is raised to e.g. the exponent of...
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Answered by Oisin B. • Maths tutor
4813 Views