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2 years ago

Form the quadratic polynomial p(x) whose sum and product of the zeroes are 3 and 2/5.

Mathematics

1 answer:

cestrela7 [59]2 years ago

7 0

Answer:

Step-by-step explanation:

x² - (α + β)x + αβ = 0

α+β= 3 +2/5

$=\frac{3*5}{1*5}+\frac{2}{5}=\frac{15}{5}+\frac{2}{5}\\\\=\frac{17}{5}$

αβ=3*2/5 = 6/5

$x^{2}-\frac{17}{5}x+\frac{6}{5}=0$

Multiply by 5

$5*x^{2}-5*\frac{17}{5}x+5*\frac{6}{5}=0\\\\5x^{2}-17x+6=0$

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1 year ago

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2 years ago

Form the quadratic polynomial p(x) whose sum and product of the zeroes are 3 and 2/5.​

Form the quadratic polynomial p(x) whose sum and product of the zeroes are 3 and 2/5.