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प्रश्न
The remainder, when x3 – x2 + x – 1 is divided by x + 1, is ______.
विकल्प
0
– 4
2
4
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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
If x3 + ax2 + bx + 6 has x – 2 as a factor and leaves a remainder 3 when divided by x – 3, find the values of a and b.
When x3 + 3x2 – mx + 4 is divided by x – 2, the remainder is m + 3. Find the value of m.
Find the number which should be added to x2 + x + 3 so that the resulting polynomial is completely divisible by (x + 3).
If the polynomial y3 − 5y2 + 7y + m is divided by y + 2 and the remainder is 50 then find the value of m.
If p(x) = 4x3 - 3x2 + 2x - 4 find the remainderwhen p(x) is divided by:
x - 4
If p(x) = 4x3 - 3x2 + 2x - 4 find the remainderwhen p(x) is divided by:
x + `(1)/(2)`.
Using remainder theorem, find the remainder on dividing f(x) by (x + 3) where f(x) = 3x3 + 7x2 – 5x + 1
When divided by x – 3 the polynomials x3 – px2 + x + 6 and 2x3 – x2 – (p + 3)x – 6 leave the same remainder. Find the value of ‘p’.
Find ‘a’ if the two polynomials ax3 + 3x2 – 9 and 2x3 + 4x + a, leaves the same remainder when divided by x + 3.
What number must be added to 2x3 – 7x2 + 2x so that the resulting polynomial leaves the remainder – 2 when divided by 2x – 3?
