Question

2
drag the tiles to the boxes to form correct pairs.
match each pair of polynomials to their sum.
12x² + 3x + 6 and -7x² - 4x - 2 -2x - 2
2x² - x and -x - 2x² - 2 2x²
x + x² + 2 and x² - 2 - x 2x² + 9x - 2
x² + x and x² + 8x - 2 5x² - x + 4

Explanation:

Step1: Sum of \(12x^2 + 3x + 6\) and \(-7x^2 - 4x - 2\)

Combine like terms: \( (12x^2 - 7x^2) + (3x - 4x) + (6 - 2) = 5x^2 - x + 4\)

Step2: Sum of \(2x^2 - x\) and \(-x - 2x^2 - 2\)

Combine like terms: \( (2x^2 - 2x^2) + (-x - x) + (-2) = -2x - 2\)

Step3: Sum of \(x + x^2 + 2\) and \(x^2 - 2 - x\)

Combine like terms: \( (x^2 + x^2) + (x - x) + (2 - 2) = 2x^2\)

Step4: Sum of \(x^2 + x\) and \(x^2 + 8x - 2\)

Combine like terms: \( (x^2 + x^2) + (x + 8x) + (-2) = 2x^2 + 9x - 2\)

Answer:

\(12x^2 + 3x + 6\) and \(-7x^2 - 4x - 2\) \(\longleftrightarrow\) \(5x^2 - x + 4\)
\(2x^2 - x\) and \(-x - 2x^2 - 2\) \(\longleftrightarrow\) \(-2x - 2\)
\(x + x^2 + 2\) and \(x^2 - 2 - x\) \(\longleftrightarrow\) \(2x^2\)
\(x^2 + x\) and \(x^2 + 8x - 2\) \(\longleftrightarrow\) \(2x^2 + 9x - 2\)