Answered

Looking for trustworthy answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Get the answers you need quickly and accurately from a dedicated community of experts on our Q&A platform. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

Solve the following problem:

[tex]\[
\begin{array}{l}
T = -2a^2 + a + 6 \\
N = -3a^2 + 2a - 5
\end{array}
\][/tex]

Find [tex]\( N - T \)[/tex].

Your answer should be a polynomial in standard form.

Sagot :

GinnyAnswer
To find the polynomial resulting from the subtraction [tex]\( N - T \)[/tex], we start by defining the polynomials [tex]\( T \)[/tex] and [tex]\( N \)[/tex]:

[tex]\[ T = -2a^2 + a + 6 \][/tex]
[tex]\[ N = -3a^2 + 2a - 5 \][/tex]

We need to subtract [tex]\( T \)[/tex] from [tex]\( N \)[/tex]:

[tex]\[ N - T = (-3a^2 + 2a - 5) - (-2a^2 + a + 6) \][/tex]

To perform the subtraction, we distribute the negative sign across the terms in [tex]\( T \)[/tex]:

[tex]\[ N - T = -3a^2 + 2a - 5 + 2a^2 - a - 6 \][/tex]

Next, we combine like terms:

- Combine the [tex]\( a^2 \)[/tex] terms:
[tex]\[ -3a^2 + 2a^2 = -1a^2 \][/tex]

- Combine the [tex]\( a \)[/tex] terms:
[tex]\[ 2a - a = 1a\][/tex]

- Combine the constant terms:
[tex]\[ -5 - 6 = -11 \][/tex]

Therefore, the resulting polynomial from the subtraction [tex]\( N - T \)[/tex] is:

[tex]\[ -a^2 + a - 11 \][/tex]

So, the polynomial in its standard form is:

[tex]\[ N - T = -a^2 + a - 11 \][/tex]
We appreciate your visit. Hopefully, the answers you found were beneficial. Don't hesitate to come back for more information. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.