Question
Add. Express you answer as a polynomial in standard form. (1 point)
(4x2−x+5)+(5x2+x+9)=
(
4
𝑥
2
−
𝑥
+
5
)
+
(
5
𝑥
2
+
𝑥
+
9
)
=
Check Answer
(4x2−x+5)+(5x2+x+9)=
(
4
𝑥
2
−
𝑥
+
5
)
+
(
5
𝑥
2
+
𝑥
+
9
)
=
Check Answer
Answers
GPT-4o mini
To add the polynomials \( (4x^2 - x + 5) + (5x^2 + x + 9) \), you combine like terms.
1. Combine the \( x^2 \) terms:
\[
4x^2 + 5x^2 = 9x^2
\]
2. Combine the \( x \) terms:
\[
-x + x = 0
\]
3. Combine the constant terms:
\[
5 + 9 = 14
\]
Putting it all together, the resulting polynomial is:
\[
9x^2 + 0x + 14
\]
Since the term \( 0x \) can be omitted, the final answer in standard form is:
\[
9x^2 + 14
\]
1. Combine the \( x^2 \) terms:
\[
4x^2 + 5x^2 = 9x^2
\]
2. Combine the \( x \) terms:
\[
-x + x = 0
\]
3. Combine the constant terms:
\[
5 + 9 = 14
\]
Putting it all together, the resulting polynomial is:
\[
9x^2 + 0x + 14
\]
Since the term \( 0x \) can be omitted, the final answer in standard form is:
\[
9x^2 + 14
\]