Question

What polynomial has roots of -4, 1, and 6

Answer 1

(x+1)(x+2)(x-3)=x3-7x-6

Answer 2

@makaylarrrrrr

Answer 3

A x3 - 3x2 - 22x + 24
B x3 - x2 - 26x - 24
C x3 + x2 - 26x + 24
D x3 + 3x2 + 14x - 24
@lupita1995

Answer 4

what

Answer 5

Be a LOT more careful. Not sure how I talked myself into that.

Once we have the FACTORS from the ROOTS, THEN it's as obvious as I said.

Root
-4
1
6

Factor
x - (-4) = x+4
x - 1
x - 6

Now, (+4)(-1)(-6) = +24 and immediately discard B and D.

Answer 6

asically, the fact that -4, 1, and 6 are roots of this polynomial tell us that:
(x−(−4))(x−1)(x−6)
is the polynomial we are after. Your job is to multiply this all together. That will give you the answer.

Answer 7

Note this is the same as:
(x+4)(x−1)(x−6)

Answer 8

im still not sure how to do that

Answer 9

Be a little careful. In your example, the last term is (-a)(-b)(-c)(-d), and the negatives cancel out. Will that happen in our problem?