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The polynomial p(x) is, p(x)= x3-5x2-8x+48.Use the Factor Theorem to show that (x + 3)is a factor of p(X)

First of all it is using the factor theorem. so need to use that to show it is a factor We do this by P of (-3) should = 0 So substitute x with -3 p(-3)= (-3)3 - 5 (-3)2- (-3)8 + 48 = 0 -27-45+24+48=0
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Find the area R under the curve when f(x)=xcos(x) between the limits x=0 and x=2

After careful consideration, we can see the function f(x) is the product of two individual functions. Usually, to find the area under a curve we integrate its function between a set limit. Given our situatio...
AA
Answered by Abraar A. • Maths tutor
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Common mistakes made in A-Level exams

We all make silly mistakes when in comes to Maths, so here are some common mistakes to help you out. 1. Partial Fractions: Many students think x+2/(x+1)^2 becomes A/(x+1) + B/(x+1) This is however incorrect,...
CJ
Answered by Calum J. • Maths tutor
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find the integral of f'(x)=2x+5

f'(x)=2x+5 note that f'(x)=nx n-1 so 2x is originally x 2 as this is 2x 2-1 and 5 is originally 5x 1-1 f(x)= x 2 +5x+c the c is a constant which means it's any real number without an x to it as 0 is ...
ZS
Answered by Zivanayi S. • Maths tutor
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Express the polynomial x^3+x^2-14x-24 as a product of three linear factors.

Firstly, use the factor theorem to determine one factor. Substitute factors of 24 into the equation, beginning at plus or minus 1 and then increasing. The first factor found will be -2, therefore (x+2) is a ...
SW
Answered by Scarlet W. • Maths tutor
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