Question

Write a quadratic equation whose roots are alpha + 1 and -(alpha+6)

Answer 1

Answer:

( x - α - 1 ) ( x + α + 6 )

Step-by-step explanation:

By the Factor Theorem, if a is a root then (x-a) is a factor.

Here, α + 1 is a root, so ( x - ( α + 1 ) ) = ( x - α - 1 ) is a factor.  Likewise for the other factor.

Answer 2

Answer:

( x - α - 1 ) ( x + α + 6 )

Step-by-step explanation:

By the Factor Theorem, if a is a root then (x-a) is a factor.

Here, α + 1 is a root, so ( x - ( α + 1 ) ) = ( x - α - 1 ) is a factor.  Likewise for the other factor.