What is the answer <span title="[(x+1)(x+3)(x+5)(x+7)(x+9)]/[(x+2)(x+4)]">[(x+1)(x+3)(x+5)(x+7)(x+9...</span> (*the remainder should be in mx+b form)?

Question

please solve this.. if possible, use division algorithm

Answer 1

not an equation, can&#039;t be solved.

.

Answer 2

(x+1)(x+3)(x+5)(x+7)(x+9) = Q(x) * (x+2)(x+4) + mx+b

Let x=-2, (-1)(1)(3)(5)(7) = 0 - 2m+b

=&gt; 2m-b = 105

Let x=-4, (-3)(-1)(1)(3)(5) = 0 - 4m+b

=&gt; 4m-b = -45

Solve for m and b.

Answer 3

[(x+1)(x+3)(x+5)(x+7)(x+9)]/[(x+2)(x+4)]

(x+1)(x+3)(x+5)(x+7)(x+9) = f(x) * (x+2)(x+4) + (mx + b)

for f(-2),

-1 * 1 * 3 * 5 * 7 = f(-2) * 0 * 2 - 2m + b

b = 2m - 105

for f(-4),

-3 * -1 * 1 * 3 * 5 = f(-4) * (-2) * 0 - 4m + b

b = 4m + 45

b = 2m - 105 = 4m + 45

2m = -105 - 45 = -150

m = -75

b = 2*(-75) - 105 = -255

answer, remainder = -75x - 255