Answered

Find the best solutions to your questions at Westonci.ca, the premier Q&A platform with a community of knowledgeable experts. Get detailed and accurate answers to your questions from a community of experts on our comprehensive Q&A platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

What is the sum of the given polynomials in standard form?

[tex]\left(x^2 - 3x\right) + \left(-2x^2 + 5x - 3\right)[/tex]

A. [tex]-3x^2 + 8x - 3[/tex]

B. [tex]-x^2 - 2x - 3[/tex]

C. [tex]3x^2 - 8x + 3[/tex]

D. [tex]-x^2 + 2x - 3[/tex]

Sagot :

GinnyAnswer
Certainly! Let's add the given polynomials step-by-step:

The given polynomials are:
[tex]\[P_1(x) = x^2 - 3x\][/tex]
[tex]\[P_2(x) = -2x^2 + 5x - 3\][/tex]

To find the sum, we add the corresponding coefficients of each polynomial.

1. Add the \(x^2\) terms:
[tex]\[ 1x^2 + (-2x^2) = 1 - 2 = -1x^2 \][/tex]

2. Add the \(x\) terms:
[tex]\[ -3x + 5x = 5 - 3 = 2x \][/tex]

3. Add the constant terms:
[tex]\[ 0 + (-3) = -3 \][/tex]

Putting it all together, we get the resulting polynomial:
[tex]\[ -x^2 + 2x - 3 \][/tex]

Therefore, the sum of the given polynomials in standard form is:
[tex]\[ -x^2 + 2x - 3 \][/tex]

Hence, the correct answer from the given options is:
[tex]\[ -x^2 + 2x - 3 \][/tex]
We appreciate your visit. Hopefully, the answers you found were beneficial. Don't hesitate to come back for more information. 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.