Advertisements
Advertisements
प्रश्न
Find the remainder when x3 + 3x2 + 3x + 1 is divided by x + 1.
Advertisements
उत्तर
Let us denote the given polynomials as
`f(x) = x^3 + 3x^2 + 3x + 1,`
`g(x) = x + 1`
`⇒ g(x) = x-(-1),`
We will find the remainder when f(x) is divided by g(x).
By the remainder theorem, when f(x) is divided by g(x) the remainder is
`= f(-1)`
`= (-1)^3 + 3 (-1) + 1`
` = -1 + 3 -3 + 1`
`= 0`
APPEARS IN
संबंधित प्रश्न
Identify polynomials in the following:
`f(x)=4x^3-x^2-3x+7`
If `f(x) = 2x^2 - 13x^2 + 17x + 12` find f(2)
f(x) = 3x3 + x2 − 20x +12, g(x) = 3x − 2
x3 − 10x2 − 53x − 42
One factor of x4 + x2 − 20 is x2 + 5. The other factor is
Factorise the following:
x² + 10x + 24
Factorise the following:
z² + 4z – 12
Factorise the following:
y2 – 16y – 80
Factorise the following:
5x2 – 29xy – 42y2
Factorise the following:
(p – q)2 – 6(p – q) – 16
