Question

(b) The sum of the zeroes of the polynomial
p(x) = 5x2 + 2x - 3 is
(A)
2
5
(B)
3
5
(C)
cilo
(D)
2
5
( Choose the correct​

Answer 1

Answer:

We first find the zeroes of the polynomial 5x

2

−3 by equating it to 0 as shown below:

5x

2

−3=0

⇒5x

2

=3

⇒x

2

=

5

3

⇒x=±

5

3

⇒x=

5

3

,x=−

5

3

Therefore, the zeroes of the given polynomial are

5

3

and −

5

3

.

Now, consider the sum of the zeroes as follows:

5

3

+(−

5

3

)=

5

3

−

5

3

=0=

5

0

=−(

coefficientofx

2

coefficientofx

)

And the product of the zeroes is:

5

3

×(−

5

3

)=−

5×5

3×3

=−

5

3

=

coefficientofx

2

constantterm

Hence, the relationship between zeroes and coefficient is verified.

Answer 2

Answer:

sum =-b/a (ax^2+bx+c)

so sum=-2/5