Question

What is the factorization of the polynomial graphed below? Assume it has no constant factor.

Answer 1

@LynFran @IronFist17

Answer 2

what are the roots
x=? and x=?
x axis scale 1 unit to 1

Answer 3

Since it looks to touch the x-axis only once, there must be two zeros at x = 5, which -- by the factor theorem -- correspond to two factors: (x - 5) and (x - 5) .

Answer 4

Not quite, the zeros, or critical points, are where the parabolic fuction touches the x-axis

Answer 5

x=3 and x=6 are the roots

Answer 6

we can subtract 3 frm both sides to get
x-3=0

and we can subtract 6 frm both side to get
x-6=0

now the factorization of the polynomial
are (x-3)(x-6)