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How do you use factor theorem to show an algebraic term is a factor of a polynomial?

For example show that x + 3 is a factor of p(x) = x 3 - 5x 2 - 8x + 48 We need to show that when x = -3, p(x) = 0. If this is the case then x + 3 is a factor of p(x) putting x = -3 into the polynomial we obt...
ET
Answered by Elliot T. Maths tutor
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How do you multiply out two brackets?

Let us use the example of (x + 3)(x + 5) The main thing we have to remember is to multiply every term in the first bracket by every term in the second bracket. An easy way to make sure we've done this is to ...
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Answered by Elliot T. Maths tutor
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How come x^2 = 25 has 2 solutions but x=root(25) only has one? Aren't they the same thing?

(This is something that I didnt fully understand for quite a while at school.) So when we are solving x 2 =25, in order to get x "on it's own" we square root both sides. However the definition of r...
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Answered by Dylan J. Maths tutor
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Write an algebraic expression to show the area of a square with side length x+4

x 2 + 8x + 16
AB
Answered by Anna B. Maths tutor
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How would I find a the tangent of a point on a line?

You will end up with an equation with the form y = mx + c you should be familiar with from GCSE First you would need to differentiate the equation of the line For example if you had f(x) = x 3 + 2x and the c...
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Answered by Simon G. Maths tutor
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