G
Guest
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show that:
x^2+x+k is prime,
x^2+(k+1)x +k is reducible for all positive intergers k.
x^2+x+k is prime,
x^2+(k+1)x +k is reducible for all positive intergers k.
Using the Quadratic Formula, <u>any</u> quadratic \(\displaystyle ax^2\,+\,bx\,+\,c\) can be factored.Show that: \(\displaystyle x^2\,+\,x\,+\,k\) is prime for all positive integers \(\displaystyle k.\)
The quadratic factors: .\(\displaystyle (x\,+\,1)(x\,+\,k)\)Show that: \(\displaystyle x^2\,+\,(k+1)x\,+\,k\) is reducible for all positive intergers \(\displaystyle k.\)