Mister Exam
Other calculators
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How to use it?
- Factor squared:
- x^2+3*y*x+2*y^2
- y^4-y^2-2
- y^4+y^2+2
- y^4+y^2-15
- Factor polynomial:
- x^2-3*x+2
- x^6-y^6
- x*y^3-x^3*y^2
- y^3+y^5
- Least common denominator:
- (a/5+a/7)*a^2/4
- (a+1/a+2)/a+1
- 4*x^(3/2)/3+2*sqrt(x)+x^5/5+e^(5*x^3+1)/15
- 4*((sin(8*x)/2+4*x)/8-sin(4*x)/2+x)
- How do you in partial fractions?:
- (x^2-x-6)/(x+2)
- ((z^2-z)/(z^2-9))^-1/(z^2-3*z)/(z-1)
- (z-(5*z)/z+1)/(z-4)/(z+1)
- ((z)-((7*z)/(z+3)))*((z+3)/(z-4))
- Graphing y =:
- x^2-x-6
- Derivative of:
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x^2-x-6
- Integral of d{x}:
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x^2-x-6
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Identical expressions
- x^ two -x- six
- x squared minus x minus 6
- x to the power of two minus x minus six
- x2-x-6
- x²-x-6
- x to the power of 2-x-6
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Similar expressions
- x^2-x+6
- x^2+x-6
Factor x^2-x-6 squared
The solution
The perfect square
Let's highlight the perfect square of the square three-member
$$\left(x^{2} - x\right) - 6$$
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
$$a = 1$$
$$b = -1$$
$$c = -6$$
Then
$$m = - \frac{1}{2}$$
$$n = - \frac{25}{4}$$
So,
$$\left(x - \frac{1}{2}\right)^{2} - \frac{25}{4}$$
$$\left(x^{2} - x\right) - 6$$
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
$$a = 1$$
$$b = -1$$
$$c = -6$$
Then
$$m = - \frac{1}{2}$$
$$n = - \frac{25}{4}$$
So,
$$\left(x - \frac{1}{2}\right)^{2} - \frac{25}{4}$$