Question

if alpha , beta r the o's of 2x^2-5x+7. find a polynomial those o's r 2alpha+3beta n 3alpha+2beta

Answer 1

fo you know how to find the zeroes of a quadratic expression?

Answer 2

let the polynomial be ax^2 +bx +c

Answer 3

you know that alpha + beta = 5/2

and alpha times beta = 7/2

Answer 4

therefore the conditions on the coeffiecents of the new polyminal are

-b/a = 5 ( alpha +beta )

so -b/a = 25/2

Answer 5

and the product of the two roots = 6alpha^2 +13aplha beta +6beta^2 = c/a

Answer 6

just easy simultaneous eqns

u do the rest