Step-by-step explanation:
these are multiplications.
you could also write
4 + 5×(p - 1)
now, we need to calculate the contents of brackets (if we can), then do the multiplications and divisions, before we can do the then remaining additions and subtractions.
if we cannot do a calculation directly (because there is a variable involved), we need to do and document the single steps for the individual parts involved.
so,
4 + 5×(p - 1) = 4 + 5×p + 5×-1 = 4 + 5p - 5 = 5p - 1
remember, a multiplication of 2 expressions is done by multiplying every term of one expression with every term of the other expression and adding the results up (by considering their individual signs, of course).
is one of the prime factors of the polynomial
<h3>How to factor the expression?</h3>
The question implies that we determine one of the prime factors of the polynomial.
The polynomial is given as:

Expand the polynomial by adding 0's in the form of +a - a

Rearrange the terms

Factorize the expression

Factor out x^6-2x^5+2x^3-3x^2+2x-1

Express x^2 + 2x + 1 as a perfect square

Expand the polynomial by adding 0's in the form of +a - a

Rearrange the terms

Factorize the expression

Factor out x^3-2x^2+x-1

One of the factors of the above polynomial is
.
This is the same as the option (c)
Hence,
is one of the prime factors of the polynomial
Read more about polynomials at:
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Answer:
Annual payment wil be 2,001 and total amount after compounded annually will be 27,001