Question

Find the quadratic polynomial whose zeroes are 3 and-5

Answer 1

Answer:

x^2 + 2x - 15

Step-by-step explanation:

Formula to form a quadratic polynomial:

K[x^2 - ( sum of zeroes)x + (product of zeroes)]

=x^2 -[3+ (-5)]x+(3*-5)

=x^2 - (-2)x + (-15)

=x^2 + 2x - 15

Hope it helps you..

Answer 2

Answer : x² + 2x - 15

Step by step explanation :

Let one zero (3) be α

Let other zero (- 5) be β

Sum of zeros = α + β = ( 3 + { - 5 } ) = - 2

Product of zeros = αβ = { 3 x - 5 } = - 15

We know that,

p(x) = x² - ( α + β )x + αβ

p(x) = x² - ( - 2 )x + ( - 15 )

p(x) = x² + 2x - 15

Thus,

The quadratic polynomial whose zeroes are 3 and -5 is x² + 2x - 15.