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Factorise Completely 8x^2 + 4xy

The answer is 4x(2x+y).The point of factorising is to find the common factor of the two variables in the original equation. Once we've found the common factor (4x in this instance), we bring it to the outsid...
YH
Answered by Yusef H. • Maths tutor
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A circle has equation: (x - 2)^2 + (y - 2)^2 = 16. It intersects the y-axis (y > 0) at point P and the x-axis (x < 0) at point Q. Find the equation of the line connecting P and Q and of the line perpendicular to PQ passing through the circle's centre.

(x - 2) 2 + (y - 2) 2 = 16 x = 0 --&gt; 4 + (y - 2) 2 = 16 --&gt; y - 2 = ±2sqrt{2} --&gt; y = 2 ± 2sqrt{2} --&gt; P(0,2 + 2sqrt{2})y = 0 --&gt; (x - 2) 2 + 4 = 16 --&gt; x - 2 = ±2sqrt{2} --&gt; x = 2 ± 2sq...
Answered by • Maths tutor
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Show that (x + 1)(x + 2)(x + 3) can be written in the form ax3 + bx2 + cx + d where a, b, c and d are positive integers.

(x + 1)(x + 2) = x^2 + 2x + x + 2 = x^2 + 3x+2therefore(x + 1)(x + 2)(x+3)= (x^2+3x+2)(x+3) = x^3 + 3x^2 + 2x + 3x^2 + 9x + 6 = x^3 + 6x^2+ 11x + 6where a=1 b=6 c=11 and d=9expansion of brackets can be done ...
JT
Answered by Jeremy T. • Maths tutor
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Using the factor theorem, factorise x^4 - 3x^3 - 3x^2 + 11x - 6

Well the question states that it wants you to use the factor theorem so it would be a good idea to write down the factor theorem to remind ourselves.&quot;A polynomial f(x) has a factor (x - a) if and only i...
KG
Answered by Kester G. • Maths tutor
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An amount of money is split between three people: A, B, and C. C gets 50%, B get 3/9, a) what share does A get. A has £10 b) how much does B have? C spends 90% of his money c) how much total money is left between A, B and C?

a) 1/6b) £20c) £20+£10+(0.1*£30)= £33
TH
Answered by Tom H. • Maths tutor
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