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IB exam question: Let p(x)=2x^5+x^4–26x^3–13x^2+72x+36, x∈R. For the polynomial equation p (x) = 0 , state (i) the sum of the roots; (ii) the product of the roots.

p(x) = 2x+ x– 26x3 – 13x+ 72x + 36
i) obtain the sum by using vieta's fomula: for p(x) the sum is hence -b/a hence, sum = -1/2
ii) obtain the ...

NM
Answered by Niccolo M. Maths tutor
7247 Views

The curve has the equation y= (x^3)/(2x-1). Find dy/dx.

To differentiate a function with respect to (wrt) x you multiply the function by the power and then lower the power by one. For example, if f(x)=x^3, then to differentiate you multiply the function by 3 (...

PC
Answered by Poppy C. Maths tutor
4701 Views

How do you know when to add probabilities together and when to multiply them together

A probability that an event occurs will always range between 0 and 1. If you want to know the probability of two events both happening you would multiply them together. For exampke what is the probability...

PS
Answered by Priyen S. Maths tutor
3979 Views

A 4kg bag of rice costs £3.20 and a 6kg bag of rice costs £5.80. Which bag of rice is the best value for money? Show all your working.

To work out which bag is best value for money you have to work out the price of each bag per kg. To do this you must divide the price of the bag by the number of kg's it weighs. I.e. 3.20/4 = 80p per kg, ...

YN
Answered by Yasha N. Maths tutor
3565 Views

How do I factorise a quadratic equation?

To factorise an equation is to put it into (usually two) brackets in the form (x+a)(x+b), where a and b are integers, which multiply out to make the original equation. So whenever you see the word factori...

JH
Answered by Juliette H. Maths tutor
2914 Views

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