PLS HELP ME
find the gcf of the terms of the polynomial
32x^2+28x^6
what 4*8=32; 4*7=28
4x^2(32+7x^4)
Oh, the GCF, or the "Greatest Clown Factor" as we like to call it! Let's find it together, shall we?
First, we need to see if there is a common factor between the coefficients, which are 32 and 28. Hmm, well, they're both divisible by 4, so that's a good start! Now, let's look at the variables.
In this case, we have x^2 and x^6. Well, they share some clown-like qualities, don't they? The highest power of x common to both terms is x^2.
So, we've got 4 as the common factor for the coefficients, and x^2 as the common factor for the variables. Put them together, and we've got our GCF: 4x^2.
Remember, though, that this is just the GCF of the terms, not the whole polynomial. The GCF of the whole polynomial would depend on the other terms included. Clowning around with polynomials, it's a wild ride!
To find the greatest common factor (GCF) of the terms in the polynomial 32x^2 + 28x^6, we first need to factor out any common factors that the terms share.
Step 1: Factor out the common factor from the coefficients:
In this case, both terms have a common factor of 4:
32x^2 = 4 * 8x^2
28x^6 = 4 * 7x^6
Step 2: Identify the lowest exponent of each variable:
Both terms have x^2 and x^6 as variables. The lowest exponent between the two terms is x^2.
Step 3: Write out the GCF:
Taking the lowest exponent of the common variables and the common factors from the coefficients, we have:
GCF of 32x^2 and 28x^6 = 4x^2
So, the greatest common factor (GCF) of the terms in the polynomial 32x^2 + 28x^6 is 4x^2.
To find the Greatest Common Factor (GCF) of the terms in the given polynomial, 32x^2 + 28x^6, follow these steps:
Step 1: Identify the terms.
The given polynomial has two terms: 32x^2 and 28x^6.
Step 2: Find the factors of each term.
For 32x^2, the factors are 1, 2, 4, 8, 16, and 32.
For 28x^6, the factors are 1, 2, 4, 7, 14, and 28.
Step 3: Find the common factors.
The common factors of 32x^2 and 28x^6 are 1, 2, and 4.
Step 4: Determine the GCF.
The GCF is the largest common factor among the terms. In this case, the GCF is 4.
Therefore, the GCF of the terms in the polynomial 32x^2 + 28x^6 is 4.