Multiply the following polynomials.
4a(a2 + 7a + 4)
A. 4a + 28a2 + 16a
B. 4a3 + 28a2 + 16a
C. 4a3 + 44a
D. 44a4
The answer is B. 4a3 + 28a2 + 16a.
To multiply the polynomials, you use the distributive property, which states that a(b+c) = ab + ac. In this case, we are multiplying the polynomial 4a by the polynomial (a2 + 7a + 4):
4a(a2 + 7a + 4) = 4a(a2) + 4a(7a) + 4a(4)
Simplifying each term:
4a(a2) = 4a3
4a(7a) = 28a2
4a(4) = 16a
So combining the terms, we get:
4a(a2 + 7a + 4) = 4a3 + 28a2 + 16a
Therefore, the answer is B. 4a3 + 28a2 + 16a.
no clue
To multiply the polynomials 4a and (a^2 + 7a + 4), we need to distribute the 4a to each term within the parentheses.
4a * a^2 = 4a^3
4a * 7a = 28a^2
4a * 4 = 16a
Combining the terms, we get:
4a(a^2 + 7a + 4) = 4a^3 + 28a^2 + 16a
Therefore, the correct answer is B. 4a^3 + 28a^2 + 16a.
To multiply the given polynomials, we need to distribute the term 4a to each term inside the parentheses:
4a(a^2 + 7a + 4)
Multiplying each term, we get:
4a * a^2 = 4a^3
4a * 7a = 28a^2
4a * 4 = 16a
Therefore, the product of the polynomials is:
4a^3 + 28a^2 + 16a
So, the correct answer is B. 4a^3 + 28a^2 + 16a.