Question

What is the difference when 3g^2 − 4g + 2 is subtracted from 7g^2 + 5g − 1? A. −4g^2 − 9g + 3 B. 4g^2 + 9g − 3 C. 4g^2 + g + 1 D. 10g^2 + g + 1

Answer 1

Subtracting 3g^2 − 4g + 2 from 7g^2 + 5g − 1 gives us 4g^2 + 9g - 3. The correct answer to the student's question is B: 4g^2 + 9g - 3.

Step-by-step explanation:

To solve the difference when 3g^2 − 4g + 2 is subtracted from 7g^2 + 5g − 1, we need to subtract each term in the second polynomial by the corresponding term in the first polynomial.

Subtract the g^2 terms: 7g^2 - 3g^2 = 4g^2.

Next, subtract the g terms: 5g - (-4g) = 9g.

Finally, subtract the constant terms: -1 - 2 = -3.

So, the difference when 3g^2 − 4g + 2 is subtracted from 7g^2 + 5g − 1 is 4g^2 + 9g - 3.

Therefore, the correct answer is B: 4g^2 + 9g - 3.

Learn more about Polynomial Subtraction