Question

if a,b are zeros oft quaratic polynomials x2-x-30 then form a quatratic polynomials whose zeros are (2-a ) and (2-b)​

Answer 1

Answer:

Step-by-step explanation:

As α and β are the zeroes of polynomial x²-x-30,

we can say,

a+b=1 ------------(i)

and, ab= -30 ---------(ii)

Then, a quadratic polynomial whose zeroes are (2-a) and (2-b) is

f(x)= x²- (2-a+2-b)x + (2-a)(2-b)

=x²-{4-(a+b)}x+{4-2(a+b)+ab}

Putting the values from (i) and (ii),

=x²-(4-1)x+(4-2-30)

=x²-3x-28(Ans.

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