w^2-4w+
2x3 − 12x − 11
2x3 + 12x − 5
8x3 + 2x − 5
The sum of the polynomials are
To find the sum of polynomials we have to add like terms.
Like terms are those terms which have same variable with same exponent power.
Given polynomials are,
Learn more about the polynomials here:
Answer:
Sum of the polynomials is
D is the correct option.
Step-by-step explanation:
The given polynomial is
Distribute plus over the parenthesis
Group the like terms.
Combine the like terms
Hence, the sum of the polynomials is
D is the correct option.
write an explicit formula for the Nth term aN.
Answer:
an=−6n+2
Step-by-step explanation:
First, you need to identify the first term and the common difference of the sequence. The first term is the value of the first element, which is -4. The common difference is the amount that is added or subtracted to each term to get the next one, which is -6 in this case. You can find it by subtracting any two consecutive terms, such as -10 - (-4) = -6 or -16 - (-10) = -6.
Next, you need to use the standard explicit formula for an arithmetic sequence, which is:
an=a1+d(n−1)
where an is the Nth term, a1 is the first term, d is the common difference, and n is any term number.
Finally, you need to substitute the values of a1 and d that you found in the first step into the formula. This gives:
an=−4+(−6)(n−1)
This is the explicit formula for the Nth term aN of the given arithmetic sequence. You can simplify it further by expanding and combining like terms:
an=−4−6n+6
an=−6n+2