Question

1) A quadratic polynomial whose roots are
- 3 and 4 is​

Answer 1

Answer:

x2-x-12

Step-by-step explanation:

We have,

α=−3,β=4

We know that the general equation

x 2 −(sumofroots)x+(productofroot)=0

x 2−(−3+4)x+(−3×4)=0

x 2−(1)x+(−12)=0

x 2−x−12=0

Hence, this is the answer.

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Answer 2

Step-by-step explanation:

We have,

α=−3,β=4

We know that the general equation

x ^2 −(sum of roots)x+(product of root)=0

x ^2 −(−3+4)x+(−3×4)=0

x ^2−(1)x+(−12)=0

x ^2 −x−12=0