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Factorise and simplify the following equation: (2x^2 + 5x + 3) / (x + 1)

Firstly, you must factorise the quadratic equation on the numerator of the fraction. Observe that the x^2 has a coefficient of 2 and the term with no x terms is 3. 3 can only be factorised by 1 and 3. Also, ...
MC
Answered by Molly C. • Maths tutor
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Expand and simplify (2x+5)(x^2 + 3x -1)

The answer should be 2x 3 + 11x 2 +13x - 5 Remeber to multipy both brackets together, and collect like terms. (Watch out for the minus sign)
FP
Answered by Fraser P. • Maths tutor
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Given that the equation of the curve y=f(x) passes through the point (-1,0), find f(x) when f'(x)= 12x^2 - 8x +1

Firstly, Integrate the f'(x) equation by raising the power by 1 and then dividing by the new power and adding a constant c. This gives you f(x)=(12x^3)/3 -(8x^2)/2 + x + c Then you simplify, f(x)=4x^3 -4x^2 ...
DM
Answered by Daniel M. • Maths tutor
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If f(x)= ( ((x^2) +4)(x-3))/2x find f'(x)

Tackle differentiation questions in two parts: First put it into the simplest for possible for differenciation, then perform the differenciation. So for this equation you should first expand the top brackets...
AB
Answered by Alex B. • Maths tutor
4257 Views

y=2x+5 and y-x=8. Find x and y.

The expression (2x+5) has the same value as y, and so we can use (2x+5) instead of y in the second equation. This means that we are now just dealing with one variable (x) instead of two (x and y). If we make...
SR
Answered by Smriti R. • Maths tutor
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