Mister Exam
Other calculators
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How to use it?
- Factor squared:
- -y^4-8*y^2-3
- -y^4+5*y^2-2
- y^4+5*y^2-10
- -y^4-6*y^2+1
- Factor polynomial:
- z^2-4*z+8
- z^2-2*z-3
- z^2-16+64/8-z
- y*x-y^a+3*x-3*a
- Least common denominator:
- (x/x+1)-x2/4*x2-1
- (x/sqrt(x^2-y^2))^2+(-y/sqrt(x^2-y^2))^2
- x*sin(1/(x-1))/(x-1)^2+cos(-1/(x-1))
- x*sin(1/x)+1/e^(x-1)+1/(1-(1/(x+1)))
- How do you in partial fractions?:
- -(900-x^2)/(x^2+900)^2
- (n-2)/(16n-2)*(1-(n-2)/(16n-2))+(4n-2)/(16n-2)*(1-(4n-2)/(16n-2))+(4n)/(16n-2)*(1-(4n)/(16n-2))+4/(16n-2)*(1-4/(16n-2))+(2n)/(16n-2)*(1-(2n)/(16n-2))+(5n-10)/(16n-2)*(1-(5n-10)/(16n-2))+8/(16n-2)*(1-8/(16n-2))
- 4-4s-(s^2+s+1)*(4s^2-6)/((-s*(s^2+2*s+2)))
- (x^2-5*x+6)/(x^2-4)
- Graphing y =:
- -x^2-x+2
- Integral of d{x}:
-
-x^2-x+2
- Factor polynomial:
- -x^2-x+2
-
Identical expressions
- -x^ two -x+ two
- minus x squared minus x plus 2
- minus x to the power of two minus x plus 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
- -x^2-x-2
Factor -x^2-x+2 squared
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,
$$\frac{9}{4} - \left(x + \frac{1}{2}\right)^{2}$$
$$\left(- x^{2} - x\right) + 2$$
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,
$$\frac{9}{4} - \left(x + \frac{1}{2}\right)^{2}$$