Advertisements
Advertisements
प्रश्न
The remainder, when x3 – x2 + x – 1 is divided by x + 1, is ______.
पर्याय
0
– 4
2
4
Advertisements
उत्तर
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
संबंधित प्रश्न
Find the remainder when x3 + 3x2 + 3x + 1 is divided by x + π.
Find the remainder when x3 + 3x2 + 3x + 1 is divided by 5 + 2x.
Check whether 7 + 3x is a factor of 3x3 + 7x.
Using the Remainder and Factor Theorem, factorise the following polynomial:
`x^3 + 10x^2 - 37x + 26`
A polynomial f(x) when divided by (x - 1) leaves a remainder 3 and when divided by (x - 2) leaves a remainder of 1. Show that when its divided by (x - i)(x - 2), the remainder is (-2x + 5).
Use remainder theorem and find the remainder when the polynomial g(x) = x3 + x2 – 2x + 1 is divided by x – 3.
If p(x) = 4x3 - 3x2 + 2x - 4 find the remainderwhen p(x) is divided by:
x - 4
When 2x3 – 9x2 + 10x – p is divided by (x + 1), the remainder is – 24.Find the value of p.
If x51 + 51 is divided by x + 1, the remainder is ______.
For what value of m is x3 – 2mx2 + 16 divisible by x + 2?
