Advertisements
Advertisements
प्रश्न
Find the remainder (without divisions) on dividing f(x) by x – 2, where f(x) = 2x3 – 7x2 + 3
उत्तर
Let x – 2 = 0, then x = 2
Substituting value of x in f(x)
f(x) = 2x3 – 7x2 + 3
∴ f(2) – 2(2)3 – 7(2)2 + 3 = 16 – 28 + 3
Hence Reminnder = –9.
APPEARS IN
संबंधित प्रश्न
Find the remainder when x3 + 3x2 + 3x + 1 is divided by `x - 1/2`
Find the remainder when x3 – ax2 + 6x – a is divided by x – a.
What must be subtracted from 16x3 – 8x2 + 4x + 7 so that the resulting expression has 2x + 1 as a factor?
Use the Remainder Theorem to find which of the following is a factor of 2x3 + 3x2 – 5x – 6.
x + 2
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.
Find the number which should be added to x2 + x + 3 so that the resulting polynomial is completely divisible by (x + 3).
When x3 + 3x2 – kx + 4 is divided by (x – 2), the remainder is k. Find the value of k.
When a polynomial f(x) is divided by (x – 1), the remainder is 5 and when it is,, divided by (x – 2), the remainder is 7. Find – the remainder when it is divided by (x – 1) (x – 2).
If x51 + 51 is divided by x + 1, the remainder is ______.
The remainder, when x3 – x2 + x – 1 is divided by x + 1, is ______.