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Find the product. Simplify your answer. $\newline$ $(x - 1)(-x^2 - 4x - 3)$

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Multiply polynomials

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Q. Find the product. Simplify your answer.

\newline

(x - 1)(-x^2 - 4x - 3)

Distribute terms in first polynomial: First, we need to distribute each term in the first polynomial by each term in the second polynomial. This means we will multiply $x$ by each term in the second polynomial and then $-1$ by each term in the second polynomial.
Multiply terms: Multiply $x$ by $-x^2$ to get $-x^3$ .
Combine products: Multiply $x$ by $-4x$ to get $-4x^2$ .
Simplify by combining terms: Multiply $x$ by $-3$ to get $-3x$ .
Final simplified form: Now, multiply $-1$ by $-x^2$ to get $x^2$ .
Final simplified form: Now, multiply $-1$ by $-x^2$ to get $x^2$ .Multiply $-1$ by $-4x$ to get $4x$ .
Final simplified form: Now, multiply $-1$ by $-x^2$ to get $x^2$ .Multiply $-1$ by $-4x$ to get $4x$ .Multiply $-1$ by $-3$ to get $3$ .
Final simplified form: Now, multiply $-1$ by $-x^2$ to get $x^2$ .Multiply $-1$ by $-4x$ to get $4x$ .Multiply $-1$ by $-3$ to get $3$ .Combine all the products: $-x^3 - 4x^2 - 3x + x^2 + 4x + 3$ .
Final simplified form: Now, multiply $-1$ by $-x^2$ to get $x^2$ .Multiply $-1$ by $-4x$ to get $4x$ .Multiply $-1$ by $-3$ to get $3$ .Combine all the products: $-x^3 - 4x^2 - 3x + x^2 + 4x + 3$ .Now, we simplify by combining like terms. Combine $-x^2$ $0$ and $x^2$ to get $-x^2$ $2$ . Combine $-x^2$ $3$ and $4x$ to get $-x^2$ $5$ .
Final simplified form: Now, multiply $-1$ by $-x^2$ to get $x^2$ .Multiply $-1$ by $-4x$ to get $4x$ .Multiply $-1$ by $-3$ to get $3$ .Combine all the products: $-x^3 - 4x^2 - 3x + x^2 + 4x + 3$ .Now, we simplify by combining like terms. Combine $-x^2$ $0$ and $x^2$ to get $-x^2$ $2$ . Combine $-x^2$ $3$ and $4x$ to get $-x^2$ $5$ .The simplified form of the product is $-x^2$ $6$ .

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