Advertisements
Advertisements
Question
The remainder, when x3 – x2 + x – 1 is divided by x + 1, is ______.
Options
0
– 4
2
4
Advertisements
Solution
The remainder, when x3 – x2 + x – 1 is divided by x + 1, is – 4.
Explanation:
We know that when f(x) is divided by x – a
Then remainder = f(a)
Let f(x) = x3 – x2 + x – 1
When f(x) is divided by x – (– 1)
Then remainder
= f(– 1)
= (– 1)3 – (– 1)2 – 1 – 1
= – 1 – 1 – 1 – 1
= – 4
RELATED QUESTIONS
Find the remainder when x3 + 3x2 + 3x + 1 is divided by x+1.
Find the remainder when x3 + 3x2 + 3x + 1 is divided by x.
The expression 2x3 + ax2 + bx – 2 leaves remainder 7 and 0 when divided by 2x – 3 and x + 2 respectively. Calculate the values of a and b.
The polynomials 2x3 – 7x2 + ax – 6 and x3 – 8x2 + (2a + 1)x – 16 leaves the same remainder when divided by x – 2. Find the value of ‘a’.
Find the number which should be added to x2 + x + 3 so that the resulting polynomial is completely divisible by (x + 3).
Find without division, the remainder in the following:
5x2 - 9x + 4 is divided by (x - 2)
Use the Remainder Theorem to factorise the following expression:
2x3 + x2 – 13x + 6
When 2x3 – x2 – 3x + 5 is divided by 2x + 1, then the remainder is
If on dividing 2x3 + 6x2 – (2k – 7)x + 5 by x + 3, the remainder is k – 1 then the value of k is
Check whether p(x) is a multiple of g(x) or not:
p(x) = 2x3 – 11x2 – 4x + 5, g(x) = 2x + 1
