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You're on a game show and have a choice of three boxes, in one box is £10, 000 in the other two are nothing. You pick one box, the host then opens one of the other boxes showing it's empty, should you stick or switch?

At the moment of your first choice you have a 1/3 chance of picking the box with the prize and a 2/3 chance of getting nothing. After your choice those probabilities remain locked in and do not change as whe...
JB
Answered by Jonathan B. • Maths tutor
9239 Views

How is the factor theorem used?

The factor theorem is used to determine factors of large polynomials so that we can split large polynomials into a product of linear polynomials. Say we have a cubic polynomial of the form f(x)=x^3+bx^2+cx+d...
RD
Answered by Rob D. • Maths tutor
4065 Views

Solve 4x/(x+1) - 3/(2x+1) = 1

Firstly multiply through by (x+1)(2x+1) to get rid of the fractions and then expand the brackets. Then gather the terms on one side to get a quadratic equation (ie 3x^2 - x -2=0) and then simply solve this e...
RB
Answered by Raban B. • Maths tutor
4439 Views

integrate 6x^2

To integrate we increase the power by one, then divide by the new power. Therefore the power (^2) increases to (^3), and the 6 is divided by the new power (^3), making the first number a 2. 2x^3
LM
Answered by Lewis M. • Maths tutor
12218 Views

Express [1+4(square root)7] /[ 5+ 2(square root)7] in the form m + n (square root)7 , where m and n are integers.

Using a whiteboard would help greatly with this question so that the steps can be seen clearly.1) Multiply both the numerator and the denominator by 5 - 2(square root)7 2) FOIL the top half of the equation t...
EW
Answered by Ella W. • Maths tutor
7697 Views