Advertisements
Advertisements
प्रश्न
When 2x3 – 9x2 + 10x – p is divided by (x + 1), the remainder is – 24.Find the value of p.
Advertisements
उत्तर
Let x + 1 = 0 then x = -1
Substituting the value of x in f(x)
f(x) = 2x3 – 9x2 + 10x – p
f(–1) = 2(–1)3 – 9(–1)2 + 10(–1) – p
= –2 – 9 – 10 – p
= –21 – p
∵ the remainder = –24
∴ –21 – p = –24
⇒ p = –24 + 21
= –3
∴ p = 3.
APPEARS IN
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.
Find the remainder when x3 – ax2 + 6x – a is divided by x – a.
Use the Remainder Theorem to find which of the following is a factor of 2x3 + 3x2 – 5x – 6.
2x – 1
What number should be added to 3x3 – 5x2 + 6x so that when resulting polynomial is divided by x – 3, the remainder is 8?
Using the Remainder Theorem, factorise each of the following completely.
3x3 + 2x2 − 19x + 6
Find the number which should be added to x2 + x + 3 so that the resulting polynomial is completely divisible by (x + 3).
What number should be subtracted from x2 + x + 1 so that the resulting polynomial is exactly divisible by (x-2) ?
Use remainder theorem and find the remainder when the polynomial g(x) = x3 + x2 – 2x + 1 is divided by x – 3.
If x51 + 51 is divided by x + 1, the remainder is ______.
