Mister Exam
Other calculators
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How to use it?
- Factor polynomial:
- x^3+y^3
- x^2-3*x+2
- x^3-x^2-x^3+2
- x^2*y+14*x*y^2+49*y^3
- Least common denominator:
- x^4/4+5*x^2/2-4*x
- (pi*a^2+pi/4)/(pi*a^2+pi/2)
- (-cos(x)^5)/5+2*cos(x)^3/3-cos(x)
- (a+4)*a/2+(4*a+16)/(4*a^2+a^3)
- Factor squared:
- -y^4-y^2-3
- y^4+y^2+6
- x^2+3*x+4
- 5*p^4-3*p^2+13
- How do you in partial fractions?:
- (2x-1)/(x*(x+2)^2*(x-4))
- (z*z-1/2*z)/(z*z-z+1)*z/(z-1/2)
- (m^2-1)/(m+1)
- 1/(2*x^2)
- Derivative of:
-
x^2-3*x+2
- Graphing y =:
-
x^2-3*x+2
- Factor squared:
- x^2-3*x+2
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Identical expressions
- x^ two - three *x+ two
- x squared minus 3 multiply by x plus 2
- x to the power of two minus three multiply by x plus two
- x2-3*x+2
- x²-3*x+2
- x to the power of 2-3*x+2
- x^2-3x+2
- x2-3x+2
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Similar expressions
- x^2-3*x-2
- x^2+3*x+2
Factor polynomial x^2-3*x+2
The solution
The perfect square
Let's highlight the perfect square of the square three-member
$$\left(x^{2} - 3 x\right) + 2$$
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
$$a = 1$$
$$b = -3$$
$$c = 2$$
Then
$$m = - \frac{3}{2}$$
$$n = - \frac{1}{4}$$
So,
$$\left(x - \frac{3}{2}\right)^{2} - \frac{1}{4}$$
$$\left(x^{2} - 3 x\right) + 2$$
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
$$a = 1$$
$$b = -3$$
$$c = 2$$
Then
$$m = - \frac{3}{2}$$
$$n = - \frac{1}{4}$$
So,
$$\left(x - \frac{3}{2}\right)^{2} - \frac{1}{4}$$