Question

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

Answer 1

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

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