Question

find the quadratic polynomial whose zeros are - 3 and -5​

Answer 1

Answer:

x^2+8x+15 hope this is correct answer

Answer 2

Answer:

The polynomial is x² + 8x + 15.

Step-by-step explanation:

A polynomial is x² - (α + β)x + (αβ) where α and β are zeros of the polynomial.

In the given question, zeros are –3 and –5.

Sum of zeros (α + β) :

$\longrightarrow$ –3 + (–5)

$\longrightarrow$ –8

Product of zeros (αβ) :

$\longrightarrow$ (–3) × (–5)

$\longrightarrow$ 15

Polynomial formed :

$\longrightarrow$ x² – (–8)x + 15

$\longrightarrow$ x² + 8x + 15

Therefore, the polynomial is x² + 8x + 15.