(test next period)

PLEASE HELP!!

x4-13X2+36

how DO YOU FACTOR THIS I TRIED EVERYTHING HELP!!!

Put y=x²

then
x4-13x²+36
=y²-13y+36
=y(y-9)-4(y-9)
=?

Why didn't i think of that...GENIUS!!THANKS A MILLION TIMES!!

To factor the polynomial x^4 - 13x^2 + 36, you'll need to look for common factors or try factoring it using different methods. Let's break down the steps to factor this polynomial:

Step 1: Look for common factors.
First, check if there are any common factors among the terms of the polynomial. In this case, there is no common factor among the terms, so we move on to the next step.

Step 2: Substitute a variable.
Let's introduce a substitution to help us factor the polynomial. Substitute a variable, such as "y," for "x^2." This way, the polynomial becomes y^2 - 13y + 36.

Step 3: Factor the substituted polynomial.
Now, you can factor the simplified polynomial y^2 - 13y + 36. Let's find two numbers whose product is 36 and sum is -13. The numbers are -4 and -9.

Therefore, the polynomial factors as (y - 4)(y - 9).

Step 4: Substitute back the original variable.
Now, we'll substitute back the original variable, "x^2," in place of "y" to obtain the factored form of the polynomial:

(x^2 - 4)(x^2 - 9)

Step 5: Factor further if possible.
We can factor the binomials (x^2 - 4) and (x^2 - 9) using difference of squares:

(x + 2)(x - 2)(x + 3)(x - 3)

Hence, the factored form of the given polynomial x^4 - 13x^2 + 36 is (x + 2)(x - 2)(x + 3)(x - 3).