Question

solve these correctly u will get 100 points a real jackpot​

Answer 1

Method to be used:

Let g(x) = x - a

Let f(x) = bx^2 + cx + d

• Keep g(x) = 0:

x - a = 0

x = a

• Keep this value of x in the equation and solve.

By this method, you get the remainder in the form of only digit.

The actual method of division of polynomials is in the attachment. The solution for every part is also attached.

Answer 2

Answer:

Remainder = 2

Step-by-step explanation:

Remainder Theorem:

If p(x) be any polynomial of degree greater than or equal to 1 and p(x) is divided by the linear polynomial (x-a),then the remainder is p(a).

Here ,

p(x)=x⁴+x³-2x²+x+1,

Now,

p(x) is divided by (x-1) then the remainder is p(1)

p(1) = 1⁴+1³-2(1)²+1+1

= 1+1-2+1+1

= 4-2

= 2

Therefore,

Remainder = 2