Find the quadratic polynomial whose zeros are 2 and - 6. Please no scam
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Let ∝ = 2 and β = -6 Sum of the zeroes = (∝ + β) = 2 – 6 = -4 Product of the zeroes, = 2(-6) = -12 Required quadratic polynomial is x2 – (∝+β)x + ∝β = x2 – (-4)x – 12 = x2 + 4x – 12 And, Sum of the zeroes = – 4 = -4/1 = (-Coefficient of x)/(Cofficient of x2) Product of zeroes = -12 = -12/1 =
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Answer:
Step-by-step explanation:
Hi friend ,
Sum of zeros = 2+(-6) = 2-6 = -4
Product of zeros = 2×-6 = -12
Quadratic polynomial:
x^2-( sum of zeros )x + Product of zeros
x^2 -(-4)x +(-12)
x^2 +4x-12
Relation between the coefficient and the zeros of the polynomial:
• Sum of zeros = -b/a
= -4/1
= -4
= -4
• Product of zeros = c/a
= -12/1
= -12
= -12
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