find the quadratic polynomial of the sum and product of whose zeroes sre -3 and 2
Answers
Answer:
i hope it's help you this is very easy
Answer:
Let the polynomial be
p(x) = ax² + bx + c
⇒ Sum of zeroes = -3
⇒ - b/a = - 3
Assuming a = 1
⇒ - b / 1 = - 3
∴ b = 3
⇒ Product of zeroes = 2
⇒ c/a = 2
Assuming a = 1
⇒ c / 1 = 2
∴ c = 2
Now a = 1 , b = 3 and c = 2
So the required quadratic polynomial will be
= ax² + bx + c
= (1)x² + (3)x + 2
= x² + 3x + 2
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