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Collect like terms and then arrange in descending order.9x^4 + 5x^5 + 7x + 3x^5 - 3x + 8x^4O 2x^5 + 12x^4 + 15xO 29x^10O 8x^5 + 17x^4 + 4xO 8x + 17x^5 + 4x^4

User Harry He
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1 Answer

5 votes

Let's copy the expression:


9x^4+5x^5+7x+3x^5-3x+8x^4

To find the like terms, we have to look only fo the variables and its exponents. They need to match. The coefficients doesn't matter, we will just use them after we put the like terms together.

We can see that we have only three types of like terms: first degree (exponent of 1), fourth degree (exponent of 4) and fifth degree (exponent of 5). In descending order, we start from the greatest and goes to the lowest:


5x^5+3x^5+9x^4+8x^4+7x-3x

Now, we can add (or substract) the coefficients of the like terms:


8x^5+17x^4+4x

Thus, the correct alternative is the third one.

User Bwags
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