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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. Als...

MC
Answered by Molly C. Maths tutor
6633 Views

Expand and simplify (2x+5)(x^2 + 3x -1)

The answer should be 2x3 + 11x2 +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
4954 Views

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...

DM
Answered by Daniel M. Maths tutor
14197 Views

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 t...

AB
Answered by Alex B. Maths tutor
4203 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 m...

SR
Answered by Smriti R. Maths tutor
12283 Views

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