Question

If a and B are the zeroes of the quadratic polynomial x- 2x + 3, find a polynomial whose zeroes are a + 2, B + 2.​

Answer 1

Answer:

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Step-by-step explanation:

Answer

f(x)=x

2

−2x+3 have zeroes α,β

⇒α+β=2

⇒α⋅β=3

Now polynomial having α+2,β+2 as roots is

p(x)=x

2

−(α+2+β+2)x+(α+2)(β+2)

=x

2

−(α+β+4)x+αβ+2(α+β)+4

=x

2

−(2+4)x+3+2(2)+4

⇒x

2

−6x+11

I hope it's helpful!!