Advertisements
Advertisements
Question
Identify constant, linear, quadratic and cubic polynomials from the following polynomials:
`r(x)=3x^2+4x^2+5x-7`
Advertisements
Solution
`r(x)=3x^2+4x^2+5x-7` is a cubic polynomial as the degree is 3
APPEARS IN
RELATED QUESTIONS
Give one example each of a binomial of degree 35, and of a monomial of degree 100.
Verify whether the indicated numbers is zeros of the polynomials corresponding to them in the following case:
\[p(x) = x^3 - 6 x^2 + 11x - 6, x = 1, 2, 3\]
f(x) = 4x4 − 3x3 − 2x2 + x − 7, g(x) = x − 1
\[f(x) = 3 x^4 + 2 x^3 - \frac{x^2}{3} - \frac{x}{9} + \frac{2}{27}, g(x) = x + \frac{2}{3}\]
The polynomials ax3 + 3x2 − 3 and 2x3 − 5x + a when divided by (x − 4) leave the remainders R1 and R2 respectively. Find the value of the following case, if R1 = R2.
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 case, if R1 + R2 = 0.
If x − 2 is a factor of the following two polynomials, find the values of a in each case x3 − 2ax2 + ax − 1.
x3 − 2x2 − x + 2
x4 − 2x3 − 7x2 + 8x + 12
If x + 1 is a factor of x3 + a, then write the value of a.
