Question

find the zeroes, sum and product of x³+2x²+13x+39​

Answer 1

Answer:

Changes made to your input should not affect the solution:

(1): "x2" was replaced by "x^2". 1 more similar replacement(s).

STEP

1

:

Equation at the end of step 1

(((x3) - 2x2) - 13x) - 10

STEP

2

:

Checking for a perfect cube

2.1 x3-2x2-13x-10 is not a perfect cube

Trying to factor by pulling out :

2.2 Factoring: x3-2x2-13x-10

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

Group 1: -13x-10

Group 2: x3-2x2

Pull out from each group separately :

Group 1: (13x+10) • (-1)

Group 2: (x-2) • (x2)

Bad news !! Factoring by pulling out fails :

The groups have no common factor and can not be added up to form a multiplication.

Polynomial Roots Calculator :

2.3 Find roots (zeroes) of : F(x) = x3-2x2-13x-10

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 -10.

The factor(s) are:

of the Leading Coefficient : 1

of the Trailing Constant : 1 ,2 ,5 ,10