Advertisements
Advertisements
प्रश्न
f(x) = 2x4 − 6x3 + 2x2 − x + 2, g(x) = x + 2
Advertisements
उत्तर
Let us denote the given polynomials as
`f(x) = 2x^4 -6x^3 + 2x^2 - x + 2`
`g(x) = x+2`
`⇒ 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 (-2)^4 - 6(-2)^3 + 2(-2)^2 - (-2) + 2 `
` = 32 + 48 + 8 + 2 + 2`
` = 92`
Now we will calculate the remainder by actual division
So the remainder by actual division is 92.
APPEARS IN
संबंधित प्रश्न
Identify constant, linear, quadratic and cubic polynomials from the following polynomials:
`g(x)=2x^3-7x+4`
Identify constant, linear, quadratic and cubic polynomials from the following polynomials:
`q(x)=4x+3`
f(x) = x5 + 3x4 − x3 − 3x2 + 5x + 15, g(x) = x + 3
Using factor theorem, factorize each of the following polynomials:
x3 + 6x2 + 11x + 6
Factorize of the following polynomials:
x3 + 13x2 + 31x − 45 given that x + 9 is a factor
x4 − 2x3 − 7x2 + 8x + 12
If \[x = \frac{1}{2}\] is a zero of the polynomial f(x) = 8x3 + ax2 − 4x + 2, find the value of a.
If x − a is a factor of x3 −3x2a + 2a2x + b, then the value of b is
If x140 + 2x151 + k is divisible by x + 1, then the value of k is
Factorise the following:
z² + 4z – 12
