Question

solve the following
1.) 80 = (5x4) .​

Answer 1

Answer:

STEP

1

:

Equation at the end of step 1

5x4 - 80

STEP

2

:

STEP

3

:

Pulling out like terms

3.1 Pull out like factors :

5x4 - 80 = 5 • (x4 - 16)

Trying to factor as a Difference of Squares:

3.2 Factoring: x4 - 16

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 : 16 is the square of 4

Check : x4 is the square of x2

Factorization is : (x2 + 4) • (x2 - 4)

Polynomial Roots Calculator :

3.3 Find roots (zeroes) of : F(x) = x2 + 4

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 4.

The factor(s) are:

of the Leading Coefficient : 1

of the Trailing Constant : 1 ,2 ,4