Question

formative 5.3 - adding polynomials
please hand in the following questions! show your work!
klo: models and performs operations on polynomials.
specific outcomes (pr6):

• apply a personal strategy for addition or subtraction of two given polynomial expressions, and reca

process symbolically.

• model addition and subtraction of two given polynomial expressions concretely or pictorially, and

process symbolically.
formative focus: use different strategies to add polynomials.

1. add: $(3x^2 - 5) + (6x^2 - 10x - 6)$

Explanation:

Step1: Remove parentheses

To add the polynomials, we first remove the parentheses. The expression \((3x^2 - 5)+(6x^2 - 10x - 6)\) becomes \(3x^2 - 5 + 6x^2 - 10x - 6\) since there are no negative signs outside the parentheses to change the signs inside.

Step2: Combine like terms

Next, we combine the like terms. For the \(x^2\) terms: \(3x^2+6x^2 = 9x^2\). For the constant terms: \(-5-6=-11\). The \(-10x\) term has no like term to combine with, so it remains as is. Putting it all together, we get \(9x^2 - 10x - 11\).

Answer:

\(9x^2 - 10x - 11\)