Question

17. If a and ß are zeroes of the polynomial 2x² + 5x + 1, then find the
value of a + B + aß.
OR​

Answer 1

Answer:

a, b are the roots of the polynomial 2x^+5x+1

sum of roots(a+b)= -b/a = -5/2

product of roots(ab)=c/a = 1/2

value of a+b+ab = -5/2+1/2

= -5+1/2

= -4/2

= -2

Therefore the value of a+b+ab = -2

Hope this answer helps you.

Answer 2

The value of α + β + αβ = 3

Given:

α and β are zeroes of the polynomial 2x² + 5x + 1

To find:

The value of α + β + αβ  

Solution:

Given polynomial p(x) = 2x² + 5x + 1  

α and β are be the zeros or Roots of the given equation

Compare given equation with ax²+bx+c = 0  

⇒ a = 2, b = 5 and c = 1  

As we know in Quadratic equation,

Sum of roots = -b/a

⇒ α + β = 5/2

Product of the roots = c/a

⇒  αβ = 1/2

⇒ α + β + αβ = 5/2 +1/2 =  6/2 = 3

Therefore,

The value of α+β+αβ = 3

#SPJ2