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Given f(x): 2x^4 + ax^3 - 6x^2 + 10x - 84, and knowing 3 is a root of f(x), which is the value of a?

For this exercise we need to be aware of the factor theorem.The factor theorem states when f(c) = 0 then x - c is a factor of the polynomial f(x) and c is a root of f(x). Because we are told that one of the ...
SR
Answered by Sabela R. • Maths tutor
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Find a quarter of the area of a circle with a diameter of 10cm.

To find a part of the area we need the whole area first. Find the formula for the area of a circle: A= pi x r 2 We have been given the diameter so we need to work out what the radius is, half of the diameter...
JS
Answered by Joseph S. • Maths tutor
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the first four terms in a sequence are 2, 6, 10, 14. what is the nth term? and what is the sum to n terms of the sequence?

the nth term formula is the sum of the first term (a) and the second to last term (n-1) * the common difference (d). so a + (n-1)d where a = 2 and d = 4 in this case is 2 + (n-1) 4 = 4n - 2. the sum to n ter...
JL
Answered by Jake L. • Maths tutor
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Jodie works for a bookshop. She is paid £6.50 an hour plus 5% of the cost of each book she sells. On Saturday, Jodie worked for 3 hours and sold £220 worth of books. How much money did Jodie earn?

We can break down this question in to two parts. Firstly we should work out how much Jodie earns for the hours that she worked. Since she worked 3 hours on Saturday to work out how much she was paid we have ...
FA
Answered by Fizzah A. • Maths tutor
4454 Views

There are 25 CDs in a box. A shop orders 14 boxes. How many CDs did the shop order?

Here we have to find out the total number of CDs that the shop ordered. One box has 25 CDs and the shop has ordered 14 boxesSo, to work it out the total we have to multiply 14 by 25, this can be solved by lo...
FA
Answered by Fizzah A. • Maths tutor
4701 Views