Answer :
Final answer:
The polynomial 48x³+16x² can be factored by identifying the greatest common factor (16x²) and expressing the polynomial as a product of other polynomials. The factored form is 16x²(3x + 1).
Explanation:
The polynomial we need to factor is 48x³+16x². Factoring a polynomial refers to expressing it as a product of other polynomials. The first step in factoring this expression is to identify the greatest common factor (GCF), which is the highest number that evenly divides into all the coefficients of the variables.
Here, the GCF of 48 and 16 is 16, and the smallest exponent in the variable x is 2. Thus, 16x² can be factored out, leaving us with:
16x²(3x + 1)
So the fully factored form of the given polynomial is 16x²(3x + 1).
Learn more about Polynomial here:
https://brainly.com/question/28315959
#SPJ11
