Which of the following is the correct sum of (2x2+4x+3)+(x2โ3xโ2)(2๐ฅ2+4๐ฅ+3)+(๐ฅ2โ3๐ฅโ2)?Question 15Select one:x2+x+1๐ฅ2+๐ฅ+13x2+x+13๐ฅ2+๐ฅ+13x2+7x+13๐ฅ2+7๐ฅ+13x2+7xโ13๐ฅ2+7๐ฅโ1Clear my choiceCheckQuestion 15
Question
Which of the following is the correct sum of (2x2+4x+3)+(x2โ3xโ2)(2๐ฅ2+4๐ฅ+3)+(๐ฅ2โ3๐ฅโ2)?Question 15Select one:x2+x+1๐ฅ2+๐ฅ+13x2+x+13๐ฅ2+๐ฅ+13x2+7x+13๐ฅ2+7๐ฅ+13x2+7xโ13๐ฅ2+7๐ฅโ1Clear my choiceCheckQuestion 15
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.
Similar Questions
Which of the following is the correct sum of (2x2+4x+3)+(x2โ3xโ2)(2๐ฅ2+4๐ฅ+3)+(๐ฅ2โ3๐ฅโ2)?Question 15Select one:x2+x+1๐ฅ2+๐ฅ+13x2+x+13๐ฅ2+๐ฅ+13x2+7x+13๐ฅ2+7๐ฅ+13x2+7xโ13๐ฅ2+7๐ฅโ1Clear my choiceCheckQuestion 15
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