Question

if a and b are zeros of the quadratic polynomial P(X)equal to 4x² - 5x-1,find the value of a²b+b²a​

Answer 1

Answer:

${a}^{2}b + {b}^{2}a = ab(a + b) \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: .. ...equation \: 1$

$ab = \frac{ - 1}{4} \\ a + b = \frac{5}{4}$

put the values in equation 1

$\frac{ - 1}{4} \times \frac{5}{4 } = \frac{ - 5}{16}$