Question

Find the zeroes of polynomial and verify with co efficient
1)p(X)10x^2-14x-12
2)p(x)=x^2+3x-10
3)p(X)=x^2-2x-8

Answer 1

Answer:

The zeores are –5 and 2

Step-by-step explanation:

x^2+3x–10

sum : 3 (5–2)

product : –10 (5×–2)

(x+5) (x–2)

the zeroes are –5 and 2

Based on zeroes :

sum of zeroes = 5+(–2)

= 3

product of zeroes =5×–2

= –10

Based on coefficient :

sum of zeroes = –coefficient of x ÷ coefficient of x^2

=–(–3) ÷1

=3

product of zeroes = constant ÷ coefficient of x^2

= –(–10) ÷1

=10

Hence verified

hope it's helpful !!