Question

the factor of x⁴+4 are

Answer 1

x4 + 4 = 0 Step 2 : Solving a Single Variable Equation : 2.1 Solve : x4+4 = 0 Subtract 4 from both sides of the equation : x4 = -4, x = ∜ -4 , The equation has no real solutions.

It has 4 imaginary or complex solutions. x= 1.0000 + 1.0000 i, x= -1.0000 + 1.0000 i, x= -1.0000 - 1.0000 i, x= 1.0000 - 1.0000 i

Answer 2

Answer:

): "x4" was replaced by "x^4".

Step by step solution :

Step 1 :

Trying to factor as a Difference of Squares :

1.1 Factoring: x4-4

Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =

A2 - AB + BA - B2 =

A2 - AB + AB - B2 =

A2 - B2

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 4 is the square of 2

Check : x4 is the square of x2

Factorization is : (x2 + 2) • (x2 - 2)

Polynomial Roots Calculator :

1.2 Find roots (zeroes) of : F(x) = x2 + 2

Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient

In this case, the Leading Coefficient is 1 and the Trailing Constant is 2.

The factor(s) are:

of the Leading Coefficient : 1

of the Trailing Constant : 1 ,2