QuestionFactor the higher degree polynomial. $x^{4}-2 x^{2}-15$
Part: $0 / 3$
Part 1 of 3
To produce the product $x^{4}$ , we must use $x^{2}$ and $\square$ .

Studdy Solution

STEP 1

1. We are factoring the polynomial $x^{4} - 2x^{2} - 15$ .
2. The polynomial is a quadratic in form, with $x^4$ as the highest degree term.
3. We will factor it as a product of two binomials.

STEP 2

1. Identify the structure of the binomials.
2. Determine the terms that multiply to give the constant term.
3. Verify the factorization by expanding.

STEP 3

To produce the product $x^{4}$ , we must use $x^{2}$ in each binomial. Thus, the structure of the binomials will be:
$(x^{2} + \square)(x^{2} + \square)$
This step sets up the framework for factoring the polynomial.

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