Advertisements
Advertisements
Question
Identify polynomials in the following:
`g(x)=2x^3-3x^2+sqrtx-1`
Solution
`g(x)=2x^3-3x^2+sqrtx-1` is not a polynomial as exponent of x in `sqrtx` is not a positive
integer.
APPEARS IN
RELATED QUESTIONS
Write the degrees of the following polynomials:
`12-x+2x^3`
Write the degrees of the following polynomials:
7
f(x) = x4 − 3x2 + 4, g(x) = x − 2
The polynomials ax3 + 3x2 − 3 and 2x3 − 5x + a when divided by (x − 4) leave the remainders R1 and R2 respectively. Find the values of the following cases, if 2R1 − R2 = 0.
f(x) = x3 − 6x2 + 11x − 6, g(x) = x2 − 3x + 2
Find the value of a, if x + 2 is a factor of 4x4 + 2x3 − 3x2 + 8x + 5a.
In the following two polynomials, find the value of a, if x − a is factor x6 − ax5 + x4 − ax3 + 3x − a + 2.
What must be subtracted from x3 − 6x2 − 15x + 80 so that the result is exactly divisible by x2 + x − 12?
Factorise the following:
a4 – 3a2 + 2
Factorise:
2x3 – 3x2 – 17x + 30