Find the product. $$ (5 x-2)\left(x^{2}-3 x+1\right) $$ $$ (5 x-2)\left(x^{2}-3 x+1\right)=\square $$

Question

UpStudy AI · Accepted Answer

1. Write the product:
   
   $$
   (5x-2)(x^2-3x+1)
   $$

2. Distribute the term $$5x$$ over the trinomial:

$$
   5x \cdot x^2 = 5x^3
   $$
   
   $$
   5x \cdot (-3x) = -15x^2
   $$
   
   $$
   5x \cdot 1 = 5x
   $$

3. Distribute the term $$-2$$ over the trinomial:

$$
   -2 \cdot x^2 = -2x^2
   $$
   
   $$
   -2 \cdot (-3x) = 6x
   $$
   
   $$
   -2 \cdot 1 = -2
   $$

4. Combine like terms:

- Combine the $$x^3$$ term: $$5x^3$$
   - Combine the $$x^2$$ terms: $$-15x^2 - 2x^2 = -17x^2$$
   - Combine the $$x$$ terms: $$5x + 6x = 11x$$
   - Constant term: $$-2$$

This gives:

$$
   5x^3 - 17x^2 + 11x - 2
   $$

5. Therefore, the product is:

$$
   (5x-2)(x^2-3x+1)=5x^3 - 17x^2 + 11x - 2
   $$
The product is $$5x^3 - 17x^2 + 11x - 2$$.

Find the product. \( (5 x-2)\left(x^{2}-3 x+1\right) \) \( (5 x-2)\left(x^{2}-3 x+1\right)=\square \)

Solución de inteligencia artificial de Upstudy

Responder

Solución

Mind Expander

preguntas relacionadas

Latest Algebra Questions