Which of the following quartic functions has x=-1 and x=-4 as its only two real zeros?
The answer will be whatever equation can be separated so that x = -1 and x = -4 For example, if the equation had (x+4) then that would be correct This is because x + 4 = 0 x = -4
well use the factor theorem to test find f(-1) and f(-4) both should equal zero.
Correct campbell_st If plugging the two values into the equation do not solve to 0, then the answer is incorrect. You are looking for f(-1) and f(-4) to equal 0
which means f(-1) = 0 f(-4) = 0 and there will be 2 other zeros, if its a quartic function
\[y=x ^{4}-4x ^{3}-4x ^{2}-4x-3 \] \[y=-x ^{4}+4x ^{3}+4x ^{2}+4x+3\] \[y=x ^{4}+4x ^{3}+3x ^{2}+4x-4\] \[y=x ^{4}+4x ^{3}+4x ^{2}+4x+3\]
thanks @KirbyLegs glad you agreed with my method
Thanks.
In order for it to equal 0, you would have to have some subtraction to lower the big numbers. Trying plugging in to A and see what you get.
|dw:1389301109926:dw|
Join our real-time social learning platform and learn together with your friends!