If α, β are the zeros of the polynomial p(x) = 4x2 + 3x + 7, then =

Given,p(x) = 4x2 + 3x + 7α + β = – b/a= – 3x/4x2 = – 3/4x ………. (i)αβ = c/a= 7/4x2 …………. (ii)Dividing (i) from (ii),We get,So,1/α + 1/β = – 3/7

Q2 of 109 Page 3

If α, β are the zeros of the polynomial p(x) = 4x² + 3x + 7, then =

Given,

p(x) = 4x² + 3x + 7

α + β = – b/a

= – 3x/4x² = – 3/4x ………. (i)

αβ = c/a

= 7/4x² …………. (ii)

Dividing (i) from (ii),

We get,

So,

1/α + 1/β = – 3/7

If the graph of quadratic polynomial ax² + bx + c cuts negative direction of y-axis, then what is the sign of c?

If α, β are the zeros of the polynomial f (x) = x² + x + 1, then =

If one zero of the polynomial f (x) = (k² + 4) x² + 13x + 4k is reciprocal of the other, then k =

If the sum of the zeros of the polynomial f(x) = 2x³ – 3kx² + 4x – 5 is 6, then the value of k is