Advertisements
Advertisements
प्रश्न
When x3 – 3x2 + 5x – 7 is divided by x – 2,then the remainder is
विकल्प
0
1
2
– 1
Advertisements
उत्तर
f(x) = x3 – 3x2 + 5x – 7
g(x) = x – 2, if x – 2 = 0, then x = 2
Remainder will be
∴ f(2) = (2)3 – 3(2)3 + 5 x 2 – 7
= 8 – 12 + 10 – 7
= 18 – 19
= –1
∴ Remainder = –1.
APPEARS IN
संबंधित प्रश्न
Find the remainder when x3 + 3x2 + 3x + 1 is divided by x+1.
Using the Remainder Theorem, factorise the following completely:
3x3 + 2x2 – 19x + 6
Using the Remainder Theorem, factorise the following completely:
x3 + x2 – 4x – 4
Find the values of p and q in the polynomial f(x)= x3 - px2 + 14x -q, if it is exactly divisible by (x-1) and (x-2).
What number should be added to 2x3 - 3x2 + 7x -8 so that the resulting polynomial is exactly divisible by (x-1) ?
What number should be added to polynomial f(x)= 12x3 + 16x2 - 5x - 8 so that the resulting polynomial is exactly divisible by (2x - 1) ?
Find the remainder (without divisions) on dividing f(x) by x – 2, where f(x) = 2x3 – 7x2 + 3
Using remainder theorem, find the value of a if the division of x3 + 5x2 – ax + 6 by (x – 1) leaves the remainder 2a.
When 2x3 – 9x2 + 10x – p is divided by (x + 1), the remainder is – 24.Find the value of p.
Determine which of the following polynomials has x – 2 a factor:
4x2 + x – 2
