Advertisements
Advertisements
प्रश्न
f(x) = x4 − 3x2 + 4, g(x) = x − 2
Advertisements
उत्तर
Let us denote the given polynomials as
`f(x) = x^4 - 3x^2 + 4,`
`g(x) = x-2`
We have to 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(2) = (2)^4 - 3 (2)^2 + 4`
` = 16 - 12 + 4`
` = 8`
We will calculate remainder by actual division
So the remainder is 8
APPEARS IN
संबंधित प्रश्न
Identify polynomials in the following:
`q(x)=2x^2-3x+4/x+2`
Identify constant, linear, quadratic and cubic polynomials from the following polynomials:
`h(x)=-3x+1/2`
If x − 2 is a factor of the following two polynomials, find the values of a in each case x5 − 3x4 − ax3 + 3ax2 + 2ax + 4.
2y3 − 5y2 − 19y + 42
x4 + 10x3 + 35x2 + 50x + 24
Find the remainder when x3 + 4x2 + 4x − 3 is divided by x.
If x + 1 is a factor of x3 + a, then write the value of a.
Factorise the following:
(p – q)2 – 6(p – q) – 16
If x + 2a is a factor of x5 – 4a2x3 + 2x + 2a + 3, find a.
Factorise:
x3 – 6x2 + 11x – 6
