Mister Exam
Other calculators
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How to use it?
- Factor polynomial:
- z^3+5*z^2
- z^3-4*z^2+14*z-20
- z^3-3*z^2+z+5
- z^3-3*z^2+4*z-2
- Least common denominator:
- y*(y+((1/(x+(x^2+y^2)^(1/2))*(1+(2*x/(2*(x^2+y^2)^(1/2)))))))-(y/(x^2+y^2)^(1/2))
- y/(4*y+16)+(y^2+16)/(4*y^2-64)-(4/(y^2-4*y))
- ((x/(y-x))^-2)*((x^2+x*y)/(((x+y)^2)-4*x*y))
- (x/y^2-x*y+x-y/x^2-x*y)/(y^2/x^3-x*y^2+1/x-y)
- Factor squared:
- -y^4+8*y^2-13
- -y^4+9*y^2+6
- -y^4+7*y^2+6
- -y^4-7*y^2-7
- How do you in partial fractions?:
- 1/(2*sqrt(x)*(1+x))
- (x^2+x-12)/(x-3)
- -1/2+x^2/(x+6)
- (x^2-6*x)/(x-5)-(10-3*x)/(x-5)
- Graphing y =:
- -x^2+2*x+3
- Derivative of:
-
-x^2+2*x+3
- Factor squared:
- -x^2+2*x+3
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Identical expressions
- -x^ two + two *x+ three
- minus x squared plus 2 multiply by x plus 3
- minus x to the power of two plus two multiply by x plus three
- -x2+2*x+3
- -x²+2*x+3
- -x to the power of 2+2*x+3
- -x^2+2x+3
- -x2+2x+3
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Similar expressions
- x^2+2*x+3
- -x^2-2*x+3
- -x^2+2*x-3
Factor polynomial -x^2+2*x+3
The solution
The perfect square
Let's highlight the perfect square of the square three-member
$$\left(- x^{2} + 2 x\right) + 3$$
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
$$a = -1$$
$$b = 2$$
$$c = 3$$
Then
$$m = -1$$
$$n = 4$$
So,
$$4 - \left(x - 1\right)^{2}$$
$$\left(- x^{2} + 2 x\right) + 3$$
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
$$a = -1$$
$$b = 2$$
$$c = 3$$
Then
$$m = -1$$
$$n = 4$$
So,
$$4 - \left(x - 1\right)^{2}$$