Question

find the quadratic polynomial whose zeroes are 3 and 5​

Answer 1

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) = 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

Please mark me brainliest