Multiply the following polynomials
1. 2a(a^2+4^a)
A. 2a^2+6a^2
B. 2a^3+8a^2
C. 2a+6a
D. 2a^3+6a^2
2. (3y)(3y-2)
A. 9y^2-6
B. 9y^2+5y
C. 9y^2+1
D. 9y^2-6y
Not sure? I'm not asking anyone to give me the answer but I don't know how to do this.
I noticed in your first question you have 4^a.
None of the choices would match that.
It had to be 2a(a^2 + 4a) to get a correct answer from your choices.
You are using the distributive property which is illustrated by
a(b + c)
= ab + ac
you multiply the stuff sitting in front of the bracket by each term within the bracket
Let me know which are your choices.
For number 1 I'll go with b because it has to be one of them..on 2 I would go with D?
correct for both
Thanks Reiny for your help :)
You are very welcome
To multiply polynomials, you can use the distributive property.
1. For the first problem, you have the polynomial 2a multiplied by another polynomial (a^2 + 4^a). To multiply these polynomials, you distribute the 2a to each term inside the parentheses.
2a(a^2 + 4^a) = 2a * a^2 + 2a * 4^a
Now let's simplify each term:
2a * a^2 = 2a^3 (multiplying the coefficients and adding the exponents)
2a * 4^a = 8a^2a (multiplying the coefficients and adding the exponents)
Therefore, combining the two simplified terms we get: 2a^3 + 8a^2a.
Now, to simplify further, we can factor out a common term:
2a^3 + 8a^2a = 2a^2(a + 4)
Hence, the answer is D. 2a^3 + 6a^2.
2. For the second problem, you have the polynomial 3y multiplied by (3y - 2). Again, use the distributive property to simplify this expression.
3y(3y - 2) = 3y * 3y + 3y * (-2)
Simplifying each term:
3y * 3y = 9y^2 (multiplying the coefficients and adding the exponents)
3y * (-2) = -6y
Therefore, combining the two simplified terms, we get: 9y^2 - 6y.
Hence, the answer is D. 9y^2 - 6y.
By following the steps above, you can multiply polynomials and arrive at the correct answers.