The correct options about the given polynomial are; C. p(-2) = 22 and
E. The quotient of p(x) & (x + 2) is 3x^2 + 5x - 14 + 22/x + 2
How to carry out Polynomial Division?
The general form of equation of a Polynomial is ax² + bx + c.
where;
a, b, and c are real numbers with a ≠ 0,
The degree of a polynomial is the highest exponent of the variable in the polynomial.
Option C) Calculation for p(-2)
To get the value of p(-2), at the place of 'x' put (-2) in the polynomial p(x).
p(x) = 3x³ + 11x² - 4x - 6
p(-2) = 3(-2)³ + 11(-2)² - 4(-2) - 6
p(-2) = 22
Thus, option C is correct and option D is incorrect.
A) To calculate the quotient divide the polynomial p(x) by (x +2)
The solution of this is attached in the file.
Therefore, option E is correct and option A is incorrect.
As, we can see from the division of polynomial p(x) by (x + 2) , the p(x) polynomial is not completely divisible by (x +2). Therefore, option B is also incorrect.
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