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Which of the following is the correct sum of (2x2+4x+3)+(x2โˆ’3xโˆ’2)(2๐‘ฅ2+4๐‘ฅ+3)+(๐‘ฅ2โˆ’3๐‘ฅโˆ’2)?Question 15Select one:x2+x+1๐‘ฅ2+๐‘ฅ+13x2+x+13๐‘ฅ2+๐‘ฅ+13x2+7x+13๐‘ฅ2+7๐‘ฅ+13x2+7xโˆ’13๐‘ฅ2+7๐‘ฅโˆ’1Clear my choiceCheckQuestion 15

Question

Which of the following is the correct sum of (2x2+4x+3)+(x2โˆ’3xโˆ’2)(2๐‘ฅ2+4๐‘ฅ+3)+(๐‘ฅ2โˆ’3๐‘ฅโˆ’2)?Question 15Select one:x2+x+1๐‘ฅ2+๐‘ฅ+13x2+x+13๐‘ฅ2+๐‘ฅ+13x2+7x+13๐‘ฅ2+7๐‘ฅ+13x2+7xโˆ’13๐‘ฅ2+7๐‘ฅโˆ’1Clear my choiceCheckQuestion 15

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Solution

The sum of the two polynomials (2x^2 + 4x + 3) and (x^2 - 3x - 2) is obtained by adding the like terms together.

Step 1: Identify the like terms in both polynomials. In this case, the like terms are the terms with the same power of x.

Step 2: Add the coefficients of the like terms together.

For the x^2 terms: 2x^2 (from the first polynomial) + x^2 (from the second polynomial) = 3x^2

For the x terms: 4x (from the first polynomial) - 3x (from the second polynomial) = x

For the constant terms: 3 (from the first polynomial) - 2 (from the second polynomial) = 1

So, the sum of the two polynomials (2x^2 + 4x + 3) and (x^2 - 3x - 2) is 3x^2 + x + 1.

This problem has been solved

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Which of the following is the correct sum of (2x2+4x+3)+(x2โˆ’3xโˆ’2)(2๐‘ฅ2+4๐‘ฅ+3)+(๐‘ฅ2โˆ’3๐‘ฅโˆ’2)?Question 15Select one:x2+x+1๐‘ฅ2+๐‘ฅ+13x2+x+13๐‘ฅ2+๐‘ฅ+13x2+7x+13๐‘ฅ2+7๐‘ฅ+13x2+7xโˆ’13๐‘ฅ2+7๐‘ฅโˆ’1Clear my choiceCheckQuestion 15

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