Question

U should rly help plz

Answer 1

Answer:

Final result :  

(sorry if this is long)

 a3 - 5a2 + 4a + 5

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 ((4a-(a3))-3)+(((2•(a3))-5a2)+8)

Step  2  :

Equation at the end of step  2  :

 ((4a-(a3))-3)+((2a3-5a2)+8)

Step  3  :

Checking for a perfect cube :

3.1    a3-5a2+4a+5  is not a perfect cube

Trying to factor by pulling out :

3.2      Factoring:  a3-5a2+4a+5  

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

Group 1:  4a+5  

Group 2:  a3-5a2  

Pull out from each group separately :

Group 1:   (4a+5) • (1)

Group 2:   (a-5) • (a2)

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 :

3.3    Find roots (zeroes) of :       F(a) = a3-5a2+4a+5

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

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  a  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  5.

The factor(s) are:

of the Leading Coefficient :  1

of the Trailing Constant :  1 ,5

Hope it helps!!