Westonci.ca offers quick and accurate answers to your questions. Join our community and get the insights you need today. Connect with professionals on our platform to receive accurate answers to your questions quickly and efficiently. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.
Sagot :
Answer:
[tex]2x^3-9x^2+7x+6[/tex]
Step-by-step explanation:
The standard form of a polynomial is a method of writing a polynomial such that the terms are organized by degrees. In essence, the first term, or the left-most term has the highest degree or largest exponent. The right-most term or last term has the lowest degree or smallest exponent. One is given an expression in factored form. Distribute, multiply every term by another in the parenthesis, then simplify. Repeat this process until there are no more factored terms. Finally, rewrite the expression in standard form.
[tex](2x+1)(x-3)(x-2)[/tex]
Distribute,
[tex](2x+1)(x-3)(x-2)[/tex]
[tex]((2x)(x)+(-3)(2x)+(1)(x)+(1)(-3))(x-2)[/tex]
Simplify,
[tex]((2x)(x)+(-3)(2x)+(1)(x)+(1)(-3))(x-2)[/tex]
[tex](2x^2-6x+x-3)(x-2)[/tex]
[tex](2x^2-5x-3)(x-2)[/tex]
Distribute,
[tex](2x^2-5x-3)(x-2)[/tex]
[tex](2x^2)(x)+(-5x)(x)+(-3)(x)+(-2)(2x^2)+(-2)(-5x)+(-3)(-2)[/tex]
Simplify,
[tex](2x^2)(x)+(-5x)(x)+(-3)(x)+(-2)(2x^2)+(-2)(-5x)+(-3)(-2)[/tex]
[tex]2x^3-5x^2-3x-4x^2+10x+6[/tex]
[tex]2x^3-9x^2+7x+6[/tex]
This polynomial is already in standard form, thus there is no need to reorganize it. The leading term or the left-most term has the highest degree, three, the succeeding terms are in respective order of decreasing exponents.
Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.