Advertisements
Advertisements
Question
Find the quotient and remainder for the following using synthetic division:
(x3 + 2x2 – x – 4) ÷ (x + 2)
Solution
p(x) = x3 + 2x2 – x – 4
d(x) = x + 2
x + 2 = 0
x = – 2
The quotient = x2 – 1
Remainder = – 2
APPEARS IN
RELATED QUESTIONS
Divide the following polynomial by synthetic division method and also by linear division method. Write the quotient and the remainder.
`(2m^2 - 3m + 10) ÷ (m - 5)`
Divide the following polynomial by synthetic division method and also by linear division method. Write the quotient and the remainder.
`(y^3 - 216) ÷ (y - 6)`
Divide the following polynomial by synthetic division method and also by linear division method. Write the quotient and the remainder.
`(2x^4 + 3x^3 + 4x - 2x^2) ÷ (x + 3)`
Divide the following polynomial by synthetic division method and also by linear division method. Write the quotient and the remainder.
`(x^4 - 3x^2 - 8) ÷ (x + 4)`
Find the quotient and remainder for the following using synthetic division:
(x3 + x2 – 7x – 3) ÷ (x – 3)
If the quotient obtained on dividing 3x3 + 11x2 + 34x + 106 by x – 3 is 3x2 + ax + b, then find a, b and also the remainder
Factorise the following polynomials using synthetic division:
x3 – 3x2 – 10x + 24
Factorise the following polynomials using synthetic division:
2x3 – 3x2 – 3x + 2
Factorise the following polynomials using synthetic division:
x3 – 7x + 6
Factorise the following polynomials using synthetic division:
x3 – 10x2 – x + 10
