If on division of a polynomial p(x)by a polynomial g(x), the quotient is zero, what is the relation between the degrees of p(x) and g(x)?

let zeroes be x,1/x. therofore x+1/x=-13/k^2+4 and x*1/x=4k/k^2+4 k^2+4=4k k=2

α, β are zeros of the quadratic polynomial then sum and product of whose zeroes are -1/4 and 1/4 respectively.  ∴   α + β = -1/4   αβ = 1/4 α, β are zeros of...

Synthetic division is a shortcut method for dividing a polynomial by a simple divisor of the form (x - n). The divisor must be of that form in order for synthetic division to...

No, as degree (x-2)=degree (x+3)

Let a,6 be the zeros of given polynomial. Then a+6=5 ⇒ a=-1.

Yes, because every quadratic polynomial has at the most two zeros.

No, x4 - 1 is a polynomial intersecting the x-axis at exactly two points.

We know that The zero polynomial is the additive identity of the additive group of polynomials. Zero of zero polynomial is not defined as the zero polynomial cannot have a variable i.e 0 does not have...

Let α, β, γ be the roots of the given polynomial and αβ = 3 Then αβγ=-9/2 => 3 x γ= -9/2 or γ=-3/2

(a) : R is a function as A = {1, 2, 3, 4} and (2, 4) ∈ R and (2, 3) ∈ R R is not reflexive as (1, 1)...