Question

in the following quadratic polynomial whose sum of zeroes is -4 and product is -5? (i) x²+4x+5 (ii) x²-4x-5 (iii) x²-4x+5 (iv) x²+4x-5​

Answer 1

Answer:

Ans iii) X² - 4x +5

Step-by-step explanation:

here we put -4 in X & ans should be -5

let's try ,

(-4)² - 4(4) + 5

> 16 - 16 +5 = 0

> 0+5 =0

= -5

& final answer is -5

Answer 2

Answer:

(iii) x² + 4x - 5 is the required quadratic polynomial.

To check;

solving the quadratic polynomial,

x² +4x -5

= x² +5x-1x -5

= x (x+5) -1 (x+5)

= (x-1) (x+5)

x = 1 and x = -5

sum of the zeroes = -5+1 = -4

product of the zeroes = -5 × 1 = -5

Hence the answer.