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if alpha,beta are zero of the quadratic polynomial p(x)=x2-p (x+1)-c find the value of (alpha+1) (beta+1) =1-C. ​

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Answered by rashipriyasingh66
2

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10th

Maths

Polynomials

Relationship between Zeroes and Coefficients of a Polynomial

If alpha, beta are the zero...

MATHS

If α,β are the zeros of the polynomial f(x)=x

2

−p(x+1)−c=0 such (α+1)(β+1)=0, then c=

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ANSWER

We have,

f(x)=x

2

−p(x+1)−c=0

f(x)=x

2

−px−(p+c)=0 .............(1)

Since,

α,β are the zeroes of the above polynomial.

So,

α+β=p

αβ=−(p+c)

Since,

(α+1)(β+1)=0

αβ+α+β+1=0

−p−c+p+1=0

−c+1=0

c=1

Answered by Anonymous
16

Answer:

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