Question

Find a quadratic polynomial, the sum and product of whose zeroes are -7 and 7 respectively.​

Answer 1

Answer:

x²+7x+7=0

Step-by-step explanation:

$\large{\underline{\underline{\mathfrak{Given:-}}}}</p><p>$

zeroes are -7 and 7

$\large{\underline{\underline{\mathfrak{To\:Find:-}}}}</p><p>$

Quadratic polynomial

$\large{\underline{\underline{\mathfrak{Concepts:-}}}}$

• sum of zeroes= -b/a
• product of zeroes= c/a

general form of a quadratic equation= ax²+bx+c=0

Note:- There is many solutions . there is only 2 equations and 3 variables So, we have to assume 1 variable

$\large{\underline{\underline{\mathfrak{Solution:-}}}}$

Assume a=1

• Sum of the zeroes= -b= -7
• product of the zeroes= c= 7

-b= -7

b=7

put the value of a , b and c

ax²+bx+c=0

x²+7x+7=0

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