Question

1. find the sum of the following polynomials,

$(7x^3 + 4x^2 - 6) + (2x^3 + 8x^2 + 7)$
\bigcirc $9x^3 - 4x^2 + 1$
\bigcirc $9x^3 + 12x^2 + 13$
\bigcirc $9x^3 + 12x^2 + 1$
\bigcirc $5x^3 + 12x^2 + 1$

Explanation:

Step1: Combine like terms for $x^3$

We have $7x^3$ from the first polynomial and $2x^3$ from the second polynomial. Adding them together: $7x^3 + 2x^3 = 9x^3$.

Step2: Combine like terms for $x^2$

The first polynomial has $4x^2$ and the second has $8x^2$. Adding these: $4x^2 + 8x^2 = 12x^2$.

Step3: Combine the constant terms

The first polynomial has $-6$ and the second has $7$. Adding these: $-6 + 7 = 1$.

Step4: Combine all the results

Putting together the results from the previous steps, we get $9x^3 + 12x^2 + 1$.

Answer:

$9x^3 + 12x^2 + 1$ (corresponding to the option " $9x^3+12x^2+1$ ")