Question

Find a quadratic polynomial whose sum and zores are4,5 respectively

Answer 1

Step-by-step explanation:

Let the required polynomial be p ( x ) .

Its zeros are 4 and 5 .

Let , a = 4 and , b = 5 .

Since , a polynomial with zeros a and b is given by

k { x ^2 - ( a + b ) x + ab } , where k is a constant then the required polynomial

p ( x ) is k { x ^2 - ( 4 + 5 ) x + 4×5 }

= k { x^2 - 9 x + 20 }

Let k = 1 as constant .

The required polynomial is x^2 - 9x + 20

Answer 2

$\huge\tt\purple{★ Solution : }$

Let,

• Sum of the zeroes : α + ß = 4
• Product of the zeroes : αß = 5

Form of quadratic polynomial is

↪ x² - (α + ß)x + αß = 0

• Substitute the zeroes

➡ x² - (4)x + 5 = 0

➡ x² - 4x + 5 = 0

Hence, it is solved...

Step-by-step explanation:

$\huge\boxed{\fcolorbox{red}{yellow}{PLEASE MARK ME AS BRAINLIEST}}$