Mister Exam
Other calculators
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How to use it?
- Factor polynomial:
- x^2+x-2
- x^4+x^3
- x^4+4
- x^3+y^3
- Least common denominator:
- a/(a+b)+a^2/(b^2-a^2)
- (z+y*(x*z)/(z^2-x*y)+x*(z*y)/(z^2-x*y)-2*z*((x*z)/(z^2-x*y))*((z*y)/(z^2-x*y)))/(z^2-x*y)
- z-2/4*z^2+16*z+16/(z/2*z-4-z^2+4/2*z^2-8-2/z^2+2*z)
- sqrt(a)-(a-1/a^2)/(sqrt(a)-1/sqrt(a))+(1-1/a^2)/(sqrt(a)+1/(sqrt(a)))+2/a^(3/2)
- Factor squared:
- y^4+9*y^2-5
- -y^4-8*y^2-8
- -y^2-2*y*b+b^2
- x^2+x+6
- How do you in partial fractions?:
- 150/(1+150*((15*150)/(151*(1/10p+1))+(15/(260*(5p^2+p)))))
- (z/(z+6)*(z+6))-(z/(z-6)*(z+6))
- (a^2-9)/(15+5*a)
- b^9*b^7*b^2/(b^3*b^(1^9)*b^8)
- Graphing y =:
-
x^2+x-2
- Integral of d{x}:
-
x^2+x-2
- Canonical form:
- x^2+x-2
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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
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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,
$$\left(x + \frac{1}{2}\right)^{2} - \frac{9}{4}$$