Graph the following polynomial and write it in factored form. f(x)=x^4-x^3-55x^2+49x+294 f(x)=x 4 −x 3 −55x 2 +49x+294

Question

how to graph and write in factored form f(x)=x4−x3−55x2+49x+294

Answer 1

294 is the tail constant

1 is the leading coefficient...

294 = 2 * 147 = 2*7*21 = 2*7*3*7

the possible rational solutions are: {+-1,+-2,+-3,+-4,+-6+-7.+-14,+21,+42,+-49,+-98,...}

Yes, you must list ALL factors of 294...

The solutions are -7, -2, 3, 7

(x+7)(x-7)(x+2)(x-3) = f(x)