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

1 answer

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: \[ 9x^2 + 14 \]