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Factor the expression $x^4+2x^2-12$

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 Final answer to the problem

$\left(y+1\right)^2-13$
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 Step-by-step Solution 

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• Integrate by partial fractions
• Product of Binomials with Common Term
• FOIL Method
• Integrate by substitution
• Integrate by parts
• Integrate using tabular integration
• Integrate by trigonometric substitution
• Weierstrass Substitution
• Prove from LHS (left-hand side)
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1

We can factor the fourth degree trinomial $x^4+2x^2-12$ by applying the substitution: $y=x^2$

$y^2+2y-12$

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

$y^2+2y-12$

Learn how to solve polynomial factorization problems step by step online. Factor the expression x^4+2x^2+-12. We can factor the fourth degree trinomial x^4+2x^2-12 by applying the substitution: y=x^2. Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2. Factor the perfect square trinomial y^2+2y+1. Subtract the values -12 and -1.

 Final answer to the problem

$\left(y+1\right)^2-13$

 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

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2
3
4
5
6
7
8
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

 Main Topic: Polynomial Factorization

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

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