Use the constant term and leading coefficient to list all the potential roots of the expression.

5x4 + x3 + 3x2 - 7

Using the information, what is the factors of constant?

Answer: 1,7 and 1,5 on coefficient

Step-by-step explanation:

Equation at the end of step 1:

(((5• (x4)) + (x3)) + 3x2) - 7

Step 2:

Equation at the end of step 2:

((5x4 + x3) + 3x2) - 7

Step 3:

Checking for a perfect cube:

3.1 5x4+x3+3x2-7 is not a perfect cube

Trying to factor by pulling out:

3.2 Factoring: 5x4+x3+3x2-7

Thoughtfully split the expression at hand into groups, each group having two terms:

Group 1: 3x2-7

Group 2: 5x4+x3

Pull out from each group separately:

Group 1: (3x2-7) • (1)

Group 2: (5x+1) • (x3)

3.3 Find roots (zeroes) of : F (x) = 5x4+x3+3x2-7

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 5 and the Trailing Constant is - 7.

The factor (s) are:

of the Leading Coefficient : 1,5

of the Trailing Constant : 1,7