Math, asked by RahatManiyar, 9 months ago

solve it mr ak step by step solution plzz​

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Answers

Answered by ana1907
1

Answer:

put as attachment

Step-by-step explanation:

pls mark brainiest

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Answered by Abhishek474241
13

AnSwEr

{\tt{\red{\underline{\large{Given}}}}}

  • A polynomial
  • X²-15x+54

{\sf{\green{\underline{\large{To\:Find}}}}}

  • Factors of the polynomial
  • Relationship between cofficient

{\sf{\pink{\underline{\Large{Explanation}}}}}

X²-15X+54

  • we have to spilt the middle term in such a way that the product become 54 and sum become -15

X²-15X+54

=>X²-9x-6x+54

=>x(x-9)-6(x-9)

=>(x-9) (x-6)

=>x=9,6

Additional Information

Let the zeroes of the polynomial be\tt\alpha{and}\beta

Then,

\rightarrow\tt\alpha{+}\beta{=}\frac{-b}{a}

&

\rightarrow\tt\alpha{\times}\beta{=}\frac{c}{a}

Here,

a=1

b=-15

C=54

\rightarrow\tt\alpha{+}\beta{=}\dfrac{-(-15)}{1}

\rightarrow\tt\alpha{+}\beta{=}\dfrac{Cofficient\:of\:X}{Cofficient\:of\:x^2}=

&

\rightarrow\tt\alpha{\times}\beta{=}\dfrac{54}{1}

\rightarrow\tt{\large\alpha{\times}\beta{=}\dfrac{Constant\:term}{Cofficient\:of\:x^2}}

Hence,relation verified

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