Question

Find the zeroes of the quadratic polynomial x

x − 3x − 10 and verify the

relationship between the zeroes and coefficient.​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

$\large{\underline{\bf{Explanation-}}}$

Given polynomial : x² - 3x - 10

By using splitting middle term method,

• Sum = -3
• Product = -10

=> x² - 5x + 2x - 10

=> x ( x - 5 ) + 2 ( x - 5 )

=> ( x + 2 ) ( x - 5 )

Equating it to zero,

=> ( x + 2 ) = 0 and ( x - 5 ) = 0

=> x = -2 and 5

Hence, the zeroes of this polynomial are -2 and 5.

$\rule{200}2$

$\large{\underline{\bf{Verification-}}}$

★ Sum of zeroes = -2 + 5

=> Sum of zeroes = 3

=> -b/a = -(-3)/1 => 3

★ Product of zeroes = -2 × 5

=> Product of zeroes = -10

=> c/a = -10/1 => -10

Hence verified!