Question

if zeros of the polynomial x²+ 4x + 2a are alpha and 2/alpha then find the value of a

Answer 1

polynomial = x2 + 4x + 2a .

product of zero =. constant term / coff. of x2

alpha × 2 / alpha =. 2a .

then ,, ...further u solve . & get a = 1.

hope u understand.. ☺

Answer 2

Answer:

Step-by-step explanation:

Given :-

• Polynomials = x² + 4x + 2a

• Zeros = α and $\sf\frac{2}{\alpha}$

To Find :-

• The value of a.

Formula to be used :-

• Product of (zeros) roots = $\bf \frac{c}{a}$

Solution :-

Product of (zeros) roots = $\sf \frac{c}{a}$

$\sf {\implies \frac{2a}{1}=\alpha \times\frac{2}{\alpha}}$

$\sf {\implies 2a=2$

$\sf {\implies a=\frac{2}{2}$

$\bf {\implies a=1$

Hence, the value of a is 1.