Let P be a polynomial function, and P(x)=x^4-9x^3+9x^2+41x-42
Determine whether (x-2)( x − 2 ) is a factor of the polynomial.

Respuesta :

Answer:

STEP

1

:

Equation at the end of step 1

 ((((x4)-(9•(x3)))+32x2)+41x)-42

STEP  

2

:

Equation at the end of step

2

:

 ((((x4) -  32x3) +  32x2) +  41x) -  42

STEP

3

:

Polynomial Roots Calculator :

3.1    Find roots (zeroes) of :       F(x) = x4-9x3+9x2+41x-42

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  -42.

The factor(s) are:

of the Leading Coefficient :  1

of the Trailing Constant :  1 ,2 ,3 ,6 ,7 ,14 ,21 ,42

Plz mark brainliest