Question

Frame a quadratic polynomial whose zeroes are 15+√2 and 15-√2.​

Answer 1

Answer:

x²-30x+2233

Explanation:

we will take zeroes as alpha and beta, alpha =15+√2 and beta=15-√2

the sum of zeros=15+√2+15-√2=30.

product of zeroes=15+√2*15-√2=15²-√2²=225-2=223.( using a²-b²= (a+b)(a-b))

so, to form a equation we use this trick:

x²-(alpha +beta) +(aplha multiply beta) =0

so, x²-(30)x+223=0

the equation is x²-30x+ 223=0