Question

Show all work to factor x^4-10x^2+9 completely

Answer 1

Answer:

$(x^{2}-9)(x^{2} -1)$

Step-by-step explanation:

Step 1: Find what adds to _ and multiples to_

It needs to multiple to the 'c' term or 9

It needs to add to the 'b' term or -10

Step 2: Find the numbers

We know -9 and -1 make 10 and multiple to 9

-9 x -1 = 9

-9 + (-1) + -10

Step 3: Write equation in form a(x-r)(x-s)

a = 1

r = -9

s = -1

Plug in the equation to get the factored form of the equation:

$(x^{2}-9)(x^{2} -1)$

Therefore the factored form of the equation is $(x^{2}-9)(x^{2} -1)$