Mister Exam
Other calculators
-
How to use it?
- Factor squared:
- -y^4+y^2-3
- y^4-y^2-5
- x^2+x-2
- -y^4+8*y^2-8
- Factor polynomial:
- x^2-3*x+2
- x1^2+x2^2
- x^3+1
- -y^8+y^5
- Least common denominator:
- ((x+1)^2*(8*x-4))^(1/3)*(8*(x+1)^2/3+(2+2*x)*(8*x-4)/3)/((x+1)^2*(8*x-4))
- 4*((sin(8*x)/2+4*x)/8-sin(4*x)/2+x)
- (49*b/a-25*a/b)/(7*a+5*b)
- ((y-9)/(y-8))*((y^2-64)/(y^2-16*y-64))
- How do you in partial fractions?:
- (x^2-x-6)/(x+2)
- (m^2-1)/(m+1)
- (z-3)/(z+3)*(z+(z^2)/(3-z))
- (z-2)/(6*z+(z-2)*(z-2))+(6/(z*z*z-8))
- Graphing y =:
-
x^2+x-2
- Factor polynomial:
- x^2+x-2
- Canonical form:
- x^2+x-2
-
Identical expressions
- x^ two +x- two
- x squared plus x minus 2
- x to the power of two plus x minus two
- x2+x-2
- x²+x-2
- x to the power of 2+x-2
-
Similar expressions
- 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,
$$\left(x + \frac{1}{2}\right)^{2} - \frac{9}{4}$$
$$\left(x^{2} + x\right) - 2$$
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,
$$\left(x + \frac{1}{2}\right)^{2} - \frac{9}{4}$$