## If a and ß are the zeroes of the polynomial : (1 Point) x² + 4x + 3, then the value of a2 B + ab2 will

Question

If a and ß are the zeroes of the
polynomial :
(1 Point)
x² + 4x
+ 3, then the value of a2 B + ab2 will

in progress 0
1 month 2021-08-13T01:04:37+00:00 1 Answer 0 views 0

1. ## Correct Question –

If and are zeros of polynomial x² + 4x + 3 , then find the value of

━━━━━━━━━━━━━━━━━━━━━━━━━━

### Given –

Quadratic Polynomial – x² + 4x + 3 whose zeros are and

━━━━━━━━━━━━━

### To find –

━━━━━━━━━━━━━

### Formula used –

Sum of roots =

Product of roots =

where

a is coefficient of x²

b is coefficient of x

c is constant

━━━━━━━━━━━━━

### Solution

a = 1

b = 4

c = 3

━━━━━━━━━━━━━

$$\alpha + \beta = -4$$

$$\alpha \beta = 3$$

━━━━━━━━━━━━━

Substituting the value of and

= – 12

━━━━━━━━━━━━━━━━━━━━━━━━━━