Question

Factorise x^3+9x^2+23x+15 using factor theorem

Answer 1

Answer:

Step by step solution :

STEP

1

:

Equation at the end of step 1

(((x3) - 32x2) + 23x) - 15 = 0

STEP

2

:

Checking for a perfect cube

2.1 x3-9x2+23x-15 is not a perfect cube

Trying to factor by pulling out :

2.2 Factoring: x3-9x2+23x-15

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

Group 1: 23x-15

Group 2: x3-9x2

Pull out from each group separately :

Group 1: (23x-15) • (1)

Group 2: (x-9) • (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) = x3-9x2+23x-15

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