for each of the following, find a quadratic polynomial whose sum and product respectively of the zeros are as given. also, find the zeros of this polynomial by factorisation.
-8/3,4/3
pic give the image step by step
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Answer:
Q.P = 3x^2 + 8x + 4
x = -2 , -2/3(zeros)
Step-by-step explanation:
1) Q.P = x^2 -(alpha+beta)x + alpha × beta
= x ^2 - (-8/3)x + 4/3
= x^2 +8/3x + 4/3
= 3x^2 + 8x + 4
zeros,
3x^2 +6x + 2x + 4 = 0
3x (x +2) +2(x+2) = 0
(3x+2)(x+2) = 0
Thus x = -2 , -2/3
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