Mister Exam
Other calculators
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How to use it?
- Factor polynomial:
- c^3-d^3
- x^2-x-2
- x^2-6
- a*m^2+b*m^2-c*n-b*n+c*m^2-a*n
- Least common denominator:
- (a+4)*a/2+(4*a+16)/(4*a^2+a^3)
- ((3*c+1)/(c-1)+c)/(c+1)
- ((x^-6-64)/(4+2*x^-1+x^-2))*(x^2/(4-4/x+1/x^2))-(4*x^2*(2*x+1))/(1-2*x)
- factorial(5)/(m*(m+1))*factorial(m+1)/factorial(m-1)
- Factor squared:
- y^4-y^2-8
- -y^4-y^2-5
- -y^4-y^2-3
- -y^4+14*y^2-2
- How do you in partial fractions?:
- -2*sqrt(3)/(3*sqrt(1-(2*x-1)^2/3))
- (5/s)*(2/((1/5)*s+1))*(1/(s+1))
- ((x^3+y^3)/(x+y))/(x^2-y^2)+(2*y)/(x+y)-(x*y)/(x^2-y^2)
- (z^2-4*z+16)/(16*z^2-1)*(4*z^2+z)/(z^3+64)-(z+4)/(4*z^2-z)
- Factor squared:
- x^2-x-2
- Graphing y =:
- x^2-x-2
- Integral of d{x}:
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x^2-x-2
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Identical expressions
- x^ two -x- two
- x squared minus x minus 2
- x to the power of two minus x minus two
- x2-x-2
- x²-x-2
- x to the power of 2-x-2
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Similar expressions
- x^2+x-2
- x^2-x+2
Factor polynomial x^2-x-2
The solution
The perfect square
Let's highlight the perfect square of the square three-member
$$\left(x^{2} - x\right) - 2$$
To do this, let's use the formula
$$a x^{2} + b x + c = a \left(m + x\right)^{2} + n$$
where
$$m = \frac{b}{2 a}$$
$$n = \frac{4 a c - b^{2}}{4 a}$$
In this case
$$a = 1$$
$$b = -1$$
$$c = -2$$
Then
$$m = - \frac{1}{2}$$
$$n = - \frac{9}{4}$$
So,
$$\left(x - \frac{1}{2}\right)^{2} - \frac{9}{4}$$
$$\left(x^{2} - x\right) - 2$$
To do this, let's use the formula
$$a x^{2} + b x + c = a \left(m + x\right)^{2} + n$$
where
$$m = \frac{b}{2 a}$$
$$n = \frac{4 a c - b^{2}}{4 a}$$
In this case
$$a = 1$$
$$b = -1$$
$$c = -2$$
Then
$$m = - \frac{1}{2}$$
$$n = - \frac{9}{4}$$
So,
$$\left(x - \frac{1}{2}\right)^{2} - \frac{9}{4}$$