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Factor the expression $2x-x^2-1$

Step-by-step Solution

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Final Answer

$-\left(x-1\right)^{2}$
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Step-by-step Solution

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The trinomial $2x+1x^2+1$ is a perfect square trinomial, because it's discriminant is equal to zero

$\Delta=b^2-4ac=2^2-4\left(-1\right)\left(-1\right) = 0$

Learn how to solve polynomial factorization problems step by step online.

$\Delta=b^2-4ac=2^2-4\left(-1\right)\left(-1\right) = 0$

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Learn how to solve polynomial factorization problems step by step online. Factor the expression 2x-x^2+-1. The trinomial 2x+1x^2+1 is a perfect square trinomial, because it's discriminant is equal to zero. Using the perfect square trinomial formula. Factoring the perfect square trinomial.

Final Answer

$-\left(x-1\right)^{2}$

Explore different ways to solve this problem

Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

SimplifyFactorFactor by completing the squareFind the integralFind the derivativeFind 2x+-1x^2 using the definitionSolve by quadratic formula (general formula)Find the rootsFind break even pointsFind the discriminant

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Plotting: $-\left(x-1\right)^{2}$

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7
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9
0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
2

e
π
ln
log
log
lim
d/dx
Dx
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

How to improve your answer:

Main Topic: Polynomial Factorization

They are a group of techniques that help us rewrite polynomial expressions as a product of factors.

Used Formulas

1. See formulas

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