Answer:
Remainder = –24
Step-by-step explanation:
x³ + x² – 20 divide by x + 2
We can obtain the remainder when
x³ + x² – 20 is divided by x + 2 using the remainder theorem as follow:
We'll begin by calculating the value of x from x + 2. This is illustrated below:
x + 2 = 0
Collect like terms
x = 0 – 2
x = –2
Finally, we shall determine the remainder by substituting –2 for x in
x³ + x² – 20. This is illustrated below:
x³ + x² – 20
x = –2
Remainder = (–2)³ + (–2)² – 20
Remainder = –8 + 4 – 20
Remainder = –24
Therefore, the ramainder when
x³ + x² – 20 is divided by x + 2 is –24
