Mister Exam
Other calculators
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How to use it?
- Factor polynomial:
- z^2-16+64/8-z
- y^m+4-y^m-1+y^5-1
- y^8-y^3
- y^7+y^5+y^2+1
- Least common denominator:
- ((x*x)*x-15*x)*(-2*x/((x*x)*x-15*x)+(5-x*x)*(15-x^2-2*x^2)/((x*x)*x-15*x)^2)/(4*(5-x*x))
- (((x-x1)*(x-x2))/((x0-x1)*(x0-x2)))*y0+(((x-x0)*(x-x2))/((x1-x0)*(x1-x2)))*y1
- (x/x+1)-x2/4*x2-1
- x*sin(1/x)+1/e^(x-1)+1/(1-(1/(x+1)))
- Factor squared:
- -y^4-5*y^2-3
- y^4+5*y^2-3
- -y^4+5*y^2-2
- y^4-5*y^2+10
- How do you in partial fractions?:
- (t^3+1)/(t^2-t+t)
- (7^(1/3))^3/(log27)
- (4x^2-19x+12)/(x^3-64)
- (3*n-1)/(5*n+4)
- Integral of d{x}:
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2-x-x^2
- Graphing y =:
- 2-x-x^2
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Identical expressions
- two -x-x^ two
- 2 minus x minus x squared
- two minus x minus x to the power of two
- 2-x-x2
- 2-x-x²
- 2-x-x to the power of 2
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Similar expressions
- 2-x+x^2
- 2+x-x^2
Factor polynomial 2-x-x^2
The solution
The perfect square
Let's highlight the perfect square of the square three-member
$$- x^{2} + \left(2 - x\right)$$
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,
$$\frac{9}{4} - \left(x + \frac{1}{2}\right)^{2}$$
$$- x^{2} + \left(2 - x\right)$$
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,
$$\frac{9}{4} - \left(x + \frac{1}{2}\right)^{2}$$