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Firstly, multiply the whole equation by (4 - a) to cancel out the denominator, so the equation becomes: p(4 - a) = (3a + 5). Then expand the brackets: 4p - ap = 3a +5. Then rearrange the equation to: 4p -...

First start by considering the x⁰ coefficient which is -3. These include ±3 and ±1. Substituting x=1 into the polynomial produces an answer of 0 which shows that x=1 is a factor of the polynomi...

To understand the question, we have to know what a third is. 1 is made up of three thirds (3/3 presented in a fraction), so in order to obtain 9 we must multiply it by 3. The answer is 27.

To do the product rule you must have two functions multiplied together. Here you must make one function be u and the other be v. The formula from this is uv’+vu’ where v’ and u’ are the differentials of t...

How do we know which method of differentiation to use in this example?
Well in ‘xos(x)’, we have 2 different functions: ‘x’ and ‘cos(x)’. Therefore, we must differentiate using the p...