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The polynomial p(x) is given by p(x)=x^3 - 5x^2 - 8x + 48. Given (x+3) is a factor of p(x), express p(x) as a product of 3 linear factors.

This answer is easiest explained using the whiteboard in the interview. The question is basically asking for algebraic long division, we know (x+3) is a factor and are tasked with finding the other 2. We ...

RM
Answered by Richard M. Maths tutor
4436 Views

Expand and simplify the following: (2x+3)(2x+5)

Expanding this expression means multiplying the contents of the first bracket by the contents of the second. An easy way to remember this is using the FOIL method. FOIL stands for First, Outside, Inside, ...

RM
Answered by Richard M. Maths tutor
6621 Views

A ten-sided die with sides numbered 1-10 is thrown. What is the probability of throwing a 1?

There are 10 sides, therefore there are 10 options each roll for what side could be shown. In probability, this means we put 10 as the denominator in the fraction. Now the condition is that a 1 is shown a...

TD
Answered by Tutor83237 D. Maths tutor
8715 Views

Find the value of 5x - 3y when x = -2 and y = -4

This question is all to do with substitution. First, rewrite the question but in instead of writing x and y, put brackets. It will look like this: 5( ) -3( ) Now inside the brackets where x and y would go...

TD
Answered by Tutor83237 D. Maths tutor
13949 Views

Frank, Mary and Seth shared some sweets in the ratio 4:5:7. Seth got 18 more sweets than Frank. How many sweets were shared in total?

If you add 4+5+7 = 16, you can consider that Frank gets 4/16 of the sweets, Mary gets 5/16 and Seth gets 7/16. This because for every 4 sweets Frank gets, Mary gets 5 and Seth gets 7.

If there are ...

AP
Answered by Adam P. Maths tutor
9610 Views

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