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2x^2 - 16x + 32

Solution: x=4. This can be shown by factorisation or applying the quadratic formula.

NO
Answered by Nick O. Maths tutor
3442 Views

How does Pythagoras Theorem work?

Pythagoras theorem works to find out an unknown side length of a right angles triangle (RAT) knowing the other two lengths. A RAT has 3 sides called a hypotenuse (longest side), and two smaller sides. We ...

CB
Answered by Caitlin B. Maths tutor
4557 Views

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
5254 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
4153 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
13337 Views

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