Question

A quadratic polynomial, whose zeroes are -3 and 4, is

Answer 1

Solution

⇒

⇒ Given zeros are

α

=

2

α=2 and

β

=

−

6

β=−6.

⇒

⇒ Sum of zeros

=

α

+

β

=

2

+

(

−

6

)

=

−

4

=α+β=2+(−6)=−4

⇒

⇒ Product of zeros

=

α

×

β

=

2

×

(

−

6

)

=

−

12

=α×β=2×(−6)=−12

⇒

⇒ Quadratic polynomial

=

x

2

−

(

α

+

β

)

x

+

(

α

×

β

)

=x2−(α+β)x+(α×β)

⇒

⇒ Quadratic polynomial

=

x

2

−

(

−

4

)

x

+

(

−

12

)

=x2−(−4)x+(−12)

∴

∴ Quadratic polynomial

=

x

2

+

4

x

−

12

=x2+4x−12

Answer 2

Answer:

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Step-by-step explanation:

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