Question

Find a quadratic polynomial the sum and product of whose zeros are -7 and -18 respectively. Hence find the zeros

Answer 1

Answer:

Step-by-step explanation:

the quadratic polynomial whose sum of roots S and Product of roots P is given by  x^2 - Sx + P = 0.

S = - 7  and  P = - 18   then,

x^2 + 7x - 18 =0.

x^2 + 7x - 18 =0

x^2 + 9x - 2x - 18 = 0

x(x + 9) -2(x + 9) = 0

(x - 2)(x + 9) = 0

x = 2   and   x = - 9.

Answer 2

X^2 - (sum of zeroes)X + product of zeroes

SOZ= -7

POZ= -18

therefore the quadratic polynomial is,

X^2 + 7X -18

the zeroes are: -9 and 2

Hope this helps you.....

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