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QUESTION IMAGE

to find the gcf, one must look at both the and the powers of variables …

Question

to find the gcf, one must look at both the
and the powers of variables in the
terms.

when factoring a polynomial like $15x^2 - 30x$, the first step is to
identify the.

a polynomial that cannot be factored further using integers is
called a polynomial.

Explanation:

Brief Explanations
  1. The GCF of terms depends on both the shared numerical factors (coefficients) and the lowest powers of common variables.
  2. Factoring a polynomial begins by finding the GCF of all its terms to factor it out, simplifying the remaining expression.
  3. A prime polynomial is defined as one that cannot be broken down into simpler integer-based factors.

Answer:

  1. numerical coefficients
  2. greatest common factor (GCF)
  3. prime