Answered

Welcome to Westonci.ca, your ultimate destination for finding answers to a wide range of questions from experts. Our platform provides a seamless experience for finding precise answers from a network of experienced professionals. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

1. What is the product of 3x - 4 and 5x² - 2x + 6? Write your answer in standard form.(a) Show your work.(b) is the product of 3x-4 and 5x² - 2x + 6 equal to the product of 4 - 3x and 5x² - 2x + 6? Explain

1 What Is The Product Of 3x 4 And 5x 2x 6 Write Your Answer In Standard Forma Show Your Workb Is The Product Of 3x4 And 5x 2x 6 Equal To The Product Of 4 3x And class=

Sagot :

SOLUTIONS

(a) What is the product of 3x - 4 and 5x² - 2x + 6? Write your answer in standard form.

[tex](3x-4)(5x^2-2x+6)[/tex][tex]\begin{gathered} 3x(5x^2-2x+6)-4(5x^2-2x+6) \\ 15x^3-6x^2+18x-20x^2+8x-24 \\ collect\text{ like terms} \end{gathered}[/tex][tex]15x^3-26x^2+26x-24[/tex]

The product is

[tex]15x^3-26x^2+26x-24[/tex][tex](4-3x)(5x^2-2x+6)[/tex]

The product will be

[tex]\begin{gathered} 4(5x^2-2x+6)-3x(5x^2-2x+6) \\ 20x^2-8x+24-15x^3+6x^2-18x \\ -15x^3+26x^2-26x+24 \end{gathered}[/tex]

The product of 4 - 3x and 5x² - 2x + 6 will be equal to the -1 multiply be the product of 3x - 4 and 5x² - 2x + 6, thus the two product are same

Checking

[tex]\begin{gathered} -1(-15x^3+26x^2-26x+24) \\ 15x^3-26x^2+26x-24 \end{gathered}[/tex]

Hence the two answer are the same.

Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.