Q1 of 84 Page 46

Divide each of the following polynomials by synthetic division method and also by linear division method. Write the quotient and the remainder.

(y3 – 3y2 + 5y – 1) ÷ (y – 1)

The linear division is as follows:



Representing the polynomial in first polynomial in coefficient form:


⟹ 1.y3 – 3.y2 + 5.y – 1


⟹ (1, -3, 5, -1)



So, the final answer is written in the following form:


Quotient = y2 – 2y + 3


Remainder = 2


More from this chapter

All 84 →
1

Divide each of the following polynomials by synthetic division method and also by linear division method. Write the quotient and the remainder.

(2x4 + 3x3 + 4x - 2x2) ÷ (x+3)

 1

Divide each of the following polynomials by synthetic division method and also by linear division method. Write the quotient and the remainder.

(x4 – 3x2 – 8) ÷ (x+4)

 1

For x=0 find the value of the polynomial x2 – 5x + 5

 2

If p(y) = y2 - 3√2 + 1 then find p(3√2)