Question

Question 1 of 14Find the products of the polynomials below. Enter your answer in descendingorder in the box below. Enter exponents using the caret (^). For example, youwould enter 4x? as 4x2(x2 + 3x + 5)(4x2+3)Answer hereSUBMIT

Answer 1

Answer:

The product of the polynomial is:

`4x^4+12x^3+23x^2+9x+15`Step-by-step explanation:

The given expression is:

`(x^2+3x+5)(4x^2+3)`

Expand the given expression by finding the product as shown below

`4x^4+3x^2+12x^3+9x+20x^2+15`

Collect like terms and simplify

`\begin{gathered} 4x^4+12x^3+3x^2+20x^2+9x+15 \\ 4x^4+12x^3+23x^2+9x+15 \end{gathered}`

Therefore, the product of the polynomials is:

`4x^4+12x^3+23x^2+9x+15`