Answer :
Final answer:
To factor out the greatest common factor, we first identify the common factor of the terms and then simplify the expression.
Explanation:
To factor out the greatest common factor from the expression 21x5 - 35x22 - 28x, we first need to find the highest power of x that divides each term evenly. In this case, x is the common factor for all three terms. We can factor out x from each term:
x(21x4 - 35x - 28)
Now, we can simplify the expression inside the parentheses. The remaining expression, 21x4 - 35x - 28, cannot be factored further.
Learn more about Factoring polynomials here:
https://brainly.com/question/28315959
Final answer:
To factor out the greatest common factor of a polynomial, identify the largest factor that is common to all terms. For the polynomial 21x5 - 35x3 - 28x, the GCF is 7x, leading to the factored form 7x(3x4 - 5x2 - 4).
Explanation:
To factor out the greatest common factor (GCF) of a polynomial, you need to identify the largest term that is a factor of all terms within the polynomial. Let's take the polynomial 21x5 - 35x3 - 28x as an example. Begin by identifying the GCF of the numerical coefficients (21, 35, and 28) and the terms involving x (x5, x3, and x). The GCF of the numerical coefficients is 7, and since x is the smallest power of x that is common to all terms, x is the other part of the GCF.
Therefore, the polynomial can be factored as follows:
GCF of 21x5
GCF of 35x3: 7 × 5x2
GCF of 28x: 7 × 4
The factored form of the polynomial is 7x(3x4 - 5x2 - 4).
