Answers

1. 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.

   Read more about Polynomial Division at; https://brainly.com/question/17057112

   #SPJ1

   Reply