At Westonci.ca, we make it easy to get the answers you need from a community of informed and experienced contributors. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.
Sagot :
SOLUTION
We want to factor the polynomial
3x² + 4x - 7
To do this, multiply the first term and the last term, we have
[tex]3x^2\times-7=-21x^2[/tex]Now,
[tex]\begin{gathered} look\text{ for two items with x, such that when you multiply, you get } \\ -21x^2,\text{ } \\ and\text{ when you add, you get } \\ 4x. \end{gathered}[/tex]These two items are 7x and -3x because
[tex]\begin{gathered} 7x\times-3x=-21x^2 \\ 7x-3x=4x \end{gathered}[/tex]Now, replace these items with the middle item, we have
[tex]\begin{gathered} 3x^2+4x-7 \\ 3x^2+7x-3x-7 \\ x(3x+7)-1(3x+7) \\ =(x-1)(3x+7) \end{gathered}[/tex]Hence the answer is
[tex](3x+7)(x-1)[/tex]
Thank you for choosing our service. We're dedicated to providing the best answers for all your questions. Visit us again. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.
