Advertisements
Advertisements
Question
Write the coefficient of the polynomial p(z) = z5 − 2z2 + 4.
Solution
We have to find the co-efficient of the polynomial p(z) = z5 − 2z2 + 4.
Co-efficient of `z^5 = 1`
Co-efficient of `z ^4 = 0`
Co-efficient of `z^3 = 0 `
Co-efficient of ` z^2 = -2 `
Co-efficient of z = 0
Constant term = 4
Hence, the co-efficient of `z^5,z^4,z^3,z^2,z` and constant term is `1,0,0 -2,0,4`
APPEARS IN
RELATED QUESTIONS
Classify the following polynomials as polynomials in one-variable, two variables etc:
`t^3_3t^2+4t-5`
Write the family of quadratic polynomials having \[- \frac{1}{4}\] and 1 as its zeros.
Give an example of polynomials f(x), g(x), q(x) and r(x) satisfying f(x) = g(x), q(x) + r(x), where degree r(x) = 0.
If fourth degree polynomial is divided by a quadratic polynomial, write the degree of the remainder.
If f(x) is a polynomial such that f(a) f(b) < 0, then what is the number of zeros lying between a and b?
State whether the given algebraic expression are polynomial? Justify.
`y + 1/y`
Divide. Write the quotient and the remainder.
(6x5 − 4x4 + 8x3 + 2x2) ÷ 2x2
Let the polynomials be
(A) −13q5 + 4q2 + 12q
(B) (x2 + 4)(x2 + 9)
(C) 4q8 – q6 + q2
(D) `– 5/7 y^12 + y^3 + y^5`
Then ascending order of their degree is
Determine the degree of the following polynomial:
–10
Classify the following as a constant, linear, quadratic and cubic polynomials:
t2