Write the quadratic equation whose roots are -1 and 4, and whose leading coefficient is 1.
(Use the letter to represent the variable.)

Question

Write the quadratic equation whose roots are -1 and  4, and whose leading coefficient is 1.
(Use the letter  to represent the variable.)

anonymous · Answer

x

jim_thompson5910 · Answer

x = -1 or x = 4


x + 1 = 0 or x - 4 = 0


(x+1)(x-4) = 0 


x^2-3x-4=0

anonymous · Answer

thank you that was correct so if the numbers were switched out and it was roots -1 and 4 with leading coefficent of 1

anonymous · Answer

would it be written as x=-3 or x=4
x-3=0 or x+6=0
(x-3)(x+6)=0

jim_thompson5910 · Answer

wait, is this a different problem?

anonymous · Answer

yesss

jim_thompson5910 · Answer

what are the roots again?

anonymous · Answer

x=-3 or x=6 coefficent 1

jim_thompson5910 · Answer

ok thx

jim_thompson5910 · Answer

x=-3 or x=6 


x+3=0 or x-6=0


(x+3)(x-6)=0


x^2-3x-18=0

anonymous · Answer

so the first one is always postive 2nd always negative

jim_thompson5910 · Answer

well because the roots have different signs, the factors have different signs

anonymous · Answer

so one with postive roots  4,5 with cofficent of 1

jim_thompson5910 · Answer

x=4 or x=5


x-4=0 or x-5=0


(x-4)(x-5)=0


x^2-9x+20=0

anonymous · Answer

dang your good

jim_thompson5910 · Answer

does that answer your question?

anonymous · Answer

thank you really appreciate your help

jim_thompson5910 · Answer

lol thx, glad to be of help