Question

Find a quadratic polynomial, the sum and product of whose zeroes are -5 and 2, respectively.

Answer 1

Answer:

Sum of zeroes= -3

Product of zeroes= 2

x²+(sum of zeroes)x+(product of zeroes)

=x²+(-3)x+(2)

=x²-3x+2,

Is the required equation

Answer 2

Answer:

Find a quadratic polynomial, the sum and product of whose zeroes are 1 and –2 respectively. p(x) = K {x2 – (sum of the zeroes) x + Product of zeroes}, where K is a constant. p(x) K[x2–(1x)+(–2)] = K (x2 – x– 2).

Step-by-step explanation:

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