Question

What is the remainder when

(3x⁴+ 2x³− x²+ 2x − 14) ÷ (x 2)?
O 10
O 5
O 0
O 15

Answer 1

To find the remainder of the polynomial (3x⁴ + 2x³ - x² + 2x - 14) divided by (x - 2), substitute x = 2 into the polynomial to get a remainder of 50.

Step-by-step explanation:

To find the remainder when the polynomial (3x⁴ + 2x³ - x² + 2x - 14) is divided by (x - 2), we apply the remainder theorem or perform polynomial long division.

However, since we are interested in a specific value of x where the polynomial is divided by x - 2, we can simply substitute the value x = 2 into the polynomial and calculate the remainder directly:

3(2)⁴ + 2(2)³ - (2)² + 2(2) - 14

= 3(16) + 2(8) - 4 + 4 - 14

= 48 + 16 - 4 + 4 - 14

= 50,

which is the remainder when the polynomial is divided by x - 2.