Advertisements
Advertisements
Question
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
Solution
p(x) = 3x3 + 11x2 + 34x + 106
d(x) = x – 3
x – 3 = 0
x = 3
The quotient is 3x2 + 20x + 94
The given quotient is 3x2 + ax + b
Compared with the given quotient
The value of a = 20 and b = 94
The remainder = 388
APPEARS IN
RELATED QUESTIONS
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)`
Divide polynomial 3x3 - 8x2 + x + 7 by x - 3 using synthetic method and write the quotient and remainder.
Find the quotient and remainder for the following using synthetic division:
(x3 + x2 – 7x – 3) ÷ (x – 3)
If the quotient obtained on dividing (8x4 – 2x2 + 6x – 7) by (2x + 1) is (4x3 + px2 – qx + 3), then find p, q 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:
– 7x + 3 + 4x3
Factorise the following polynomials using synthetic division:
x3 + x2 – 14x – 24
Factorise the following polynomials using synthetic division:
x3 – 7x + 6
