The correct option for the polynomial is p(x) = 3x³ + 11x² - 4x - 6 are option 3 and option 4.
What is polynomial?
ax² + bx + c, where a, b, and c are real numbers with a 0, is the formula for a quadratic polynomial in 'x' with real coefficients.
Degree: The degree of a polynomial is the highest exponent of the variable in the polynomial.
Calculation for the values of polynomial:
- Step 1: 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 4 is correct and option 1 is incorrect.
- Step 2: Calculate the quotient of p(x)
To calculate the quotient divide the polynomial p(x) by (x +2)
The solution of this is attached in the file.
Therefore, option 3 is correct and option 2 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 5 is also incorrect.
To know more about division of polynomial, here
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