Question

Find the remainder when x³+x²+x+1 is divided by x – 2.​

Answer 1

USING REMINDER THEOREM ,

D = d × Q + r

x³ + x² + x + 1

${x}^{2} ( \frac{3}{2}x \: + \frac{7}{4} ) \: (x - \frac{1}{2} ) + \frac{15}{8}$

Answer 2

Step-by-step explanation:

Now using reminder theorem,

D=d×Q+r

$(x3+x2+x+1)= \\ \\ (x2 + \frac{3}{2}x + \frac{7}{4} ) \ \: (x - \frac{1}{2} ) \: + \frac{15}{8}$