Math, asked by mondalarati292, 9 months ago

4) A quadratic polynomial whose zeroes area 5.-2 is
a 2 + 3x + 10
c) x² + 3x - 10
x²-3x+10
d) x2 – 3x - 10
atir polynomial​

Answers

Answered by abhishekkumar725030
1

Answer:

D is the right answer

Step-by-step explanation:

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Answered by harshpreets550
0

Heye

your answer

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 {x}^{2}  - 3x - 10 \\  {x}^{2}  - (5x  +  x)  - 10 \\   {x}^{2}  - 5x + 2x - 10 \\ x(x - 5)  + 2(x  - 5) \\ (x - 5)\: (x + 2) \\ x = 5 \\ x =  - 2 \\ sum \: of \: zeroes \:   \\  =  \alpha  \beta  = 5 \times  - 2 =  - 10 \\  \alpha  +  \beta  =  \frac{ - b}{9}  =  -  \frac{( - 3)}{1}  = 3 \\ product \: of \: zeroes \:  \\  =  \alpha  \beta  = 5 \times  - 2 =  - 10 \\  \alpha  \beta  =  \frac{c}{a}  =  \frac{ - 10}{1}  =  - 10 \\ proved \:

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