Answer :
Final answer:
In the given polynomial 10 + 15x^3 + 35x^2, the biggest common factor among the coefficients is 5. By factoring out this GCF, the polynomial simplifies to 5(2 + 3x^3 + 7x^2). This concept helps simplify polynomials for various mathematical operations.
Explanation:
In the given polynomial 10 + 15x^3 + 35x^2, the biggest common factor among the coefficients is 5. By factoring out this GCF, the polynomial simplifies to 5(2 + 3x^3 + 7x^2). This concept helps simplify polynomials for various mathematical operations.
The given polynomial is 10 + 15x^3 + 35x^2. To factor the Greatest Common Factor (GCF) out of this polynomial, we first need to find the GCF of the coefficients. The coefficients are 10, 15 and 35. The GCF of these numbers is 5.
So, we divide each term of this polynomial by the GCF. The polynomial simplified by factoring out the GCF is 5(2 + 3x^3 + 7x^2). This is our final result.
It's important to understand that the process of factoring by GCF involves identifying the largest factor that is common to all terms in a polynomial, and then factoring it out. This makes the polynomial simpler and easier to handle in various mathematical operations.
Learn more about Factoring Polynomials here:
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