Question

2x² - 6x + 14
Find sum
of its
its zeros.
​

Answer 1

Answer:

STEP1:Equation at the end of step 1

(2x2 - 6) + 14

STEP2:

STEP3:Pulling out like terms

 3.1     Pull out like factors :

   2x2 + 8  =   2 • (x2 + 4) 

Polynomial Roots Calculator :

 3.2    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

 Let us test ....

  P  Q  P/Q  F(P/Q)   Divisor     -1     1      -1.00      5.00        -2     1      -2.00      8.00        -4     1      -4.00      20.00        1     1      1.00      5.00        2     1      2.00      8.00        4     1      4.00      20.00   

Polynomial Roots Calculator found no rational roots

Final result :

2 • (x2 + 4)