SOLUTION: write a quadratic equation in the variable x having the given number as solution type the quation in standard form ax^2+bx+c=0 solution is 1, only solution

Question 332805: write a quadratic equation in the variable x having the given number as solution type the quation in standard form ax^2+bx+c=0 solution is 1, only solution
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

1 cannot be the only solution. All quadratics have 2 solutions. The Fundamental Theorem of Algebra says it, I believe it, that settles it. Hence, the other must be 1 also. If

is a solution of a polynomial equation, then

must be a factor of the polynomial. Having two solutions equal to 1, you must have two factors equal to

. Multiply the two factors and put the result in standard form.

John

My calculator said it, I believe it, that settles it

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