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Given x^3 + 4x^2 + x - 6 = 0 , and one of the factors of this equation is (x-1), factorise and hence compute the other solutions for the eqaution.

Using either polynomial long division or by inspection, the equation can be reduced to:(x-1)(x 2 +5x+6) The other bracket can the be factored out using inspection or the quadratic formula to give:(x-1)(x+2)(...
Answered by • Maths tutor
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Northern Bank has two types of account. Both accounts pay compound interest. Cash savings account: Interest 2.5% per annum Shares account: Interest 3.5% per annum Ali invests £2000 in the cash savings account. Ben invests £1600 in the shares account.

Q: Northern Bank has two types of account. Both accounts pay compound interest. Cash savings account: Interest 2.5% per annum Shares account: Interest 3.5% per annum Ali invests £2000 in the cash savings acc...
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Answered by Simran B. • Maths tutor
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A curve C has the equation y=5sin3x + 2cos3x, find the equation of the tangent to the curve at the point (0,2)

Firstly, you need to differentiate the curve y. Using the equation dy/dx of sinkx= kcoskx, you need to differentiate 5sin3x first. So, as k=3 in this example, the answer is 5(3cos3x) which is equal to 15cos3...
Answered by • Maths tutor
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If x^2 + 4x + 3xy + y^3 = 6, find the first derivative.

This is an example of implicit differentiation. We differentiate with respect to x, remembering that y is a function of x. The terms without a 'y' differentiate as normal by the power rule nx n-1 . This is t...
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Answered by Tutor461339 D. • Maths tutor
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Rob has a bag with white, black and blue counters. There are twice as many blue counters than there are white. A qaurter of all the counters are black. If there are 5 white counters, how many counters are in the bag.

White:blue is 1:2. (There are twice as many blue counters)if there are 5 white counters there are 10 blue counterswhite + blue = 15in the bag there are the 15 white and blue counters PLUS the blacki.e. In th...
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Answered by Aurimas K. • Maths tutor
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