Math, asked by kumarsanjayhemlata, 1 month ago

Write quadratic polynomial , the sum of whose zero is -5 and their products is 6



plz answer fast do​

Answers

Answered by satyam4269
3

Answer:

x^2-5x-6

Step-by-step explanation:

formula is =x^2+(a+b)x-ab.

put the value that are given in your question.

a+b=-5.

ab=6

are given

Answered by MathHacker001
12

\large\bf\underline\red{Answer  \: :-}

Given that :

  • \sf{ \alpha  +  \beta  =  - 5}
  • \sf{ \alpha  \beta  = 6}

Now,

We know that,

\sf\bigstar{\:f(x) = x {}^{2}  - ( \alpha  +  \beta ) x+  \alpha  \beta  }

Now put the values

\sf\longmapsto{f(x) = x {}^{2}  - ( -5)x + 6} \\  \\ \sf\longmapsto{f(x) = x {}^{2} + 5x + 6 } \:  \:  \:  \:  \:  \:  \:

The Quadratic polynomial is x² + 5x + 6.

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