Question

find a quadratic polynomial, the sum and product of whose zeroes are – 10 and 25 respectively.​

Answer 1

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find a quadratic polynomial, the sum and product of whose zeroes are – 10 and 25 respectively.

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If the coefficient of x2 is 1, that is, if the polynomial is of the following form p(x): x2+ex+f, then the sum and product of the zeroes are simply: S= −e/1= −e and P= f/1= f. Important Notes: The quadratic formula to find the roots of a quadratic equation p(x):ax2+bx+c is −b±√b2−4ac2a − b ± b 2 − 4 a c 2 a .

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Answer 2

Answer:

x²+10x+25

Explanation:

Form of quadratic equation is

x²-(sum of zeroes) +(Product of zeroes)

x²-(-10)+25

x²+10x+25

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