We appreciate your visit to Multiply tex 9x 8 3x 2 x 1 tex A tex 27x 3 33x 2 17x 8 tex B tex 3x 2 10x 7 tex. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
To multiply the polynomials
[tex]$$ (9x+8) \quad \text{and} \quad (3x^2+x-1), $$[/tex]
we will use the distributive property (also known as the FOIL method when applicable for binomials). Follow these steps:
1. Multiply the term [tex]$9x$[/tex] by each term in the second polynomial:
- Multiply [tex]$9x$[/tex] by [tex]$3x^2$[/tex]:
[tex]$$ 9x \cdot 3x^2 = 27x^3 $$[/tex]
- Multiply [tex]$9x$[/tex] by [tex]$x$[/tex]:
[tex]$$ 9x \cdot x = 9x^2 $$[/tex]
- Multiply [tex]$9x$[/tex] by [tex]$-1$[/tex]:
[tex]$$ 9x \cdot (-1) = -9x $$[/tex]
This gives the partial result:
[tex]$$ 27x^3 + 9x^2 - 9x. $$[/tex]
2. Multiply the constant [tex]$8$[/tex] by each term in the second polynomial:
- Multiply [tex]$8$[/tex] by [tex]$3x^2$[/tex]:
[tex]$$ 8 \cdot 3x^2 = 24x^2 $$[/tex]
- Multiply [tex]$8$[/tex] by [tex]$x$[/tex]:
[tex]$$ 8 \cdot x = 8x $$[/tex]
- Multiply [tex]$8$[/tex] by [tex]$-1$[/tex]:
[tex]$$ 8 \cdot (-1) = -8 $$[/tex]
This gives another partial result:
[tex]$$ 24x^2 + 8x - 8. $$[/tex]
3. Combine like terms from both results:
The [tex]$x^3$[/tex] term:
[tex]$$ 27x^3 $$[/tex]
The [tex]$x^2$[/tex] terms:
[tex]$$ 9x^2 + 24x^2 = 33x^2 $$[/tex]
The [tex]$x$[/tex] terms:
[tex]$$ -9x + 8x = -x $$[/tex]
And the constant term:
[tex]$$ -8 $$[/tex]
Putting it all together, we have:
[tex]$$ 27x^3 + 33x^2 - x - 8. $$[/tex]
Thus, the product of the polynomials is:
[tex]$$ \boxed{27x^3 + 33x^2 - x - 8}. $$[/tex]
[tex]$$ (9x+8) \quad \text{and} \quad (3x^2+x-1), $$[/tex]
we will use the distributive property (also known as the FOIL method when applicable for binomials). Follow these steps:
1. Multiply the term [tex]$9x$[/tex] by each term in the second polynomial:
- Multiply [tex]$9x$[/tex] by [tex]$3x^2$[/tex]:
[tex]$$ 9x \cdot 3x^2 = 27x^3 $$[/tex]
- Multiply [tex]$9x$[/tex] by [tex]$x$[/tex]:
[tex]$$ 9x \cdot x = 9x^2 $$[/tex]
- Multiply [tex]$9x$[/tex] by [tex]$-1$[/tex]:
[tex]$$ 9x \cdot (-1) = -9x $$[/tex]
This gives the partial result:
[tex]$$ 27x^3 + 9x^2 - 9x. $$[/tex]
2. Multiply the constant [tex]$8$[/tex] by each term in the second polynomial:
- Multiply [tex]$8$[/tex] by [tex]$3x^2$[/tex]:
[tex]$$ 8 \cdot 3x^2 = 24x^2 $$[/tex]
- Multiply [tex]$8$[/tex] by [tex]$x$[/tex]:
[tex]$$ 8 \cdot x = 8x $$[/tex]
- Multiply [tex]$8$[/tex] by [tex]$-1$[/tex]:
[tex]$$ 8 \cdot (-1) = -8 $$[/tex]
This gives another partial result:
[tex]$$ 24x^2 + 8x - 8. $$[/tex]
3. Combine like terms from both results:
The [tex]$x^3$[/tex] term:
[tex]$$ 27x^3 $$[/tex]
The [tex]$x^2$[/tex] terms:
[tex]$$ 9x^2 + 24x^2 = 33x^2 $$[/tex]
The [tex]$x$[/tex] terms:
[tex]$$ -9x + 8x = -x $$[/tex]
And the constant term:
[tex]$$ -8 $$[/tex]
Putting it all together, we have:
[tex]$$ 27x^3 + 33x^2 - x - 8. $$[/tex]
Thus, the product of the polynomials is:
[tex]$$ \boxed{27x^3 + 33x^2 - x - 8}. $$[/tex]
Thanks for taking the time to read Multiply tex 9x 8 3x 2 x 1 tex A tex 27x 3 33x 2 17x 8 tex B tex 3x 2 10x 7 tex. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
