Advertisements
Advertisements
प्रश्न
Find without division, the remainder in the following :
x3 + 8x2 + 7x- 11 is divisible by (x+4)
Advertisements
उत्तर
x3 + 8x2 + 7x- 11 is divisible by (x+4)
Putting x + 4 = 0, we get : x = -4
Substituting this value of x in the equation, we get
( -4) × (-4) × (-4) + 8 × ( -4 ) × ( -4) + 7× ( -4) - 11
= - 64 + 128 - 28 - 11
= 25
APPEARS IN
संबंधित प्रश्न
Use the Remainder Theorem to factorise the following expression:]
`2x^3 + x^2 - 13x + 6`
Find the value of ‘m’, if mx3 + 2x2 – 3 and x2 – mx + 4 leave the same remainder when each is divided by x – 2.
Find without division, the remainder in the following:
5x2 - 9x + 4 is divided by (x - 2)
Find without division, the remainder in the following:
5x3 - 7x2 +3 is divided by (x-1)
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).
Find ‘a’ if the two polynomials ax3 + 3x2 – 9 and 2x3 + 4x + a, leaves the same remainder when divided by x + 3.
If (x – 2) is a factor of the expression 2x3 + ax2 + bx – 14 and when the expression is divided by (x – 3), it leaves a remainder 52, find the values of a and b.
If x51 + 51 is divided by x + 1, the remainder is ______.
Determine which of the following polynomials has x – 2 a factor:
4x2 + x – 2
If x25 + x24 is divided by (x + 1), the result is ______.
