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Add the polynomials.

[tex]\[ (8x + 5) + (-3x - 20) \][/tex]

Sagot :

GinnyAnswer
Certainly! To add the polynomials [tex]\( (8x + 5) \)[/tex] and [tex]\( (-3x - 20) \)[/tex], follow these steps:

1. Identify the coefficients of like terms:
- The coefficients of [tex]\( x \)[/tex] in the polynomials are [tex]\( 8 \)[/tex] from [tex]\( 8x \)[/tex] and [tex]\( -3 \)[/tex] from [tex]\( -3x \)[/tex].
- The constant terms are [tex]\( 5 \)[/tex] and [tex]\( -20 \)[/tex].

2. Add the coefficients of like terms:
- For the terms with [tex]\( x \)[/tex]:
[tex]\[ 8 + (-3) = 5 \][/tex]
- For the constant terms:
[tex]\[ 5 + (-20) = -15 \][/tex]

3. Combine the results:
- The result for the [tex]\( x \)[/tex] term is [tex]\( 5x \)[/tex].
- The result for the constant term is [tex]\( -15 \)[/tex].

So, the sum of the polynomials [tex]\( (8x + 5) \)[/tex] and [tex]\( (-3x - 20) \)[/tex] is:
[tex]\[ 5x - 15 \][/tex]

Thus, the final answer is:
[tex]\[ 5x - 15 \][/tex]
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