Ask your own question, for FREE!
Mathematics 12 Online
OpenStudy (anonymous):

Write a quadratic equation whose roots are 2 and 5 and whose leading coefficient is 3

OpenStudy (anonymous):

They give you the zeros, so you can reconstruct the polynomial (x-2)(x-5)=0 To get a leading coefficient of 3, we multiply by 3: 3(x-2)(x-5)=0 Now you have to foil it out

OpenStudy (anonymous):

\[3x^2-7x+10\] is that it?

OpenStudy (zarkon):

n0

OpenStudy (anonymous):

now, because if you plug in x=2 and x=5, you will not get 0

OpenStudy (anonymous):

no*

OpenStudy (anonymous):

\[3x^2-11x+30\]

OpenStudy (anonymous):

no, a little closer though

OpenStudy (anonymous):

you messed up on the inner part of the foil

OpenStudy (anonymous):

outer+inner rather

OpenStudy (anonymous):

is that part 17x?

OpenStudy (anonymous):

no

OpenStudy (anonymous):

foil (x-2)(x-5), then multiply by 3

OpenStudy (anonymous):

first + outer + inner + last

OpenStudy (anonymous):

oh wait i messed up its 21x

OpenStudy (anonymous):

x*x + x*-5 + -2*x + -2*-5

OpenStudy (anonymous):

yea, 3x^2-21x+30

OpenStudy (anonymous):

ok thanks

OpenStudy (anonymous):

np

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!