If the zeroes of the polynomial x' 3x, x + l arelftwo zeroes of the po

1.	If the zeroes of the polynomial x' 3x, x + l arelftwo zeroes of the polynomial ra_ 6r3-26r' + 13gr-35 are 2 Âą-3, find o
Answer» Relation between roots of equationax^3 + bx^2 + cx + d = 0 Let roots are x, y, z Then, x + y + z = - b/a xy + xz + yz = c/a xyz = - d/a Thus for equation X^3 - 3X^2 + X +1= 0 Sum of rootsa-b + a + a +b = -(-3)/13a = 3a=1 Product of rootsa(a+b)(a-b) = 1a(a^2 - b^2) =1b = 1 a = 1, b = 1

If the zeroes of the polynomial x' 3x, x + l arelftwo zeroes of the polynomial ra_ 6r3-26r' + 13gr-35 are 2 Âą-3, find o

Answer»

Relation between roots of equationax^3 + bx^2 + cx + d = 0

Let roots are x, y, z

Then, x + y + z = - b/a xy + xz + yz = c/a xyz = - d/a

Thus for equation X^3 - 3X^2 + X +1= 0

Sum of rootsa-b + a + a +b = -(-3)/13a = 3a=1

Product of rootsa(a+b)(a-b) = 1a(a^2 - b^2) =1b = 1

a = 1, b = 1