Question

the sum of product of zeroes taken two at time of polynomial f(x)=x^3-5x^2+3x+4 is​

Answer 1

Step-by-step explanation:

ax^3+bx^2+cx+d

sum of product of zeroes taken two at a time=c/a

ATQ,

sum of product of zeroes taken two at a time=3

Answer 2

Answer:

1. x2 - 2x - 8 = x2 - 4x + 2x - 8 = x(x - 4) + 2(x - 4) = (x - 4)(x + 2) The zeroes of the quadratic equation are 4 and -2. Let ∝ = 4 and β = -2 Consider f(x) = x2 - 2x - 8 Sum of the zeroes = …(i) Also, ∝ + β = 4 - 2 = 2 …(ii) Product of the zeroes = …(iii) Also, ∝ β = -8 …(iv) Hence, from (i), (ii), (iii) and (iv),the relationship between the zeroes and their coefficients isverified