Question

Write all possible quadratic polynomials whose zeroes are naturally numbers and their sum is equal to 5

Answer 1

Answer:Sum of zeroes = 5 - 5 = 02

Product of zeroes = 5(-5) = -25

Required polynomial = x^2 -(sum of zeroes)x + Product of zeroes

= x^2 - (0)x + ( -25)

= x^2 -25

Step-by-step explanation:

Answer 2

Answer:

let a and b be the two zeros

a + b = 5

the possible natural numbers are

1. (2,3)

2. (4,1)

by formula - x^2 - (a + b)x + (a)(b)

putting the value of a and b in this equation we get the two required quadratic equations that are as follows:-

1. x^2 - 5x + 6

2. x^2 -5x + 4

that is the answer

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