Question

Multiply vertically.

(x²+9x+5) (3x²-5x-4)
(x² +9x+5) (3x² - 5x-4) =
(Simplify your answer.)

Answer 1

To multiply two polynomials vertically, use the distributive property to multiply each term of one polynomial with each term of the other polynomial. Then, combine like terms to simplify the answer.

Step-by-step explanation:

To multiply vertically, we can use the distributive property. We multiply each term of the first polynomial by each term of the second polynomial and then combine like terms. Let's break it down:

1. Multiply x² with 3x², which gives us 3x4.
2. Multiply x² with -5x, which gives us -5x³.
3. Multiply x² with -4, which gives us -4x².
4. Multiply 9x with 3x², which gives us 27x³.
5. Multiply 9x with -5x, which gives us -45x².
6. Multiply 9x with -4, which gives us -36x.
7. Multiply 5 with 3x², which gives us 15x².
8. Multiply 5 with -5x, which gives us -25x.
9. Multiply 5 with -4, which gives us -20.

Now, we can combine the like terms to simplify the answer. Adding up all the like terms, we have: 3x4 - 5x³ - 4x² + 27x³ - 45x² - 36x + 15x² - 25x - 20.

Combining like terms, the simplified answer is: 3x4 + 22x³ - 24x² - 61x - 20.

Learn more about Multiplying polynomials