Question: User: Method 2: + + + + + + zero pair 10x - 4 Method 3: Addition of polynomials can 3x + 4 be performed vertically by aligning + 7x - 8 like terms. 10x - 4 Place like terms under the same column and add. Try it 1 Find the sum of (5x² + 2x - 3) + (-2x² + 7). Example 2 Addition of Polynomials Simplify (3x²y + 6xy + 8) + (2x²y - 2xy - 11). Solution: By removing the parentheses and grouping like terms, we get: = (3x²y + 2x²y) + (6xy - 2xy) + (8 - 11) = (3 + 2)x²y + (6 - 2)xy - 3 = 5x²y + 4xy - 3 By aligning like terms vertically, 3x²y + 6xy + 8 + 2x²y - 2xy - 11 5x²y + 4xy - 3 LET'S TALK Which method in adding polynomials is easier to use? Discuss. Try it 2 Simplify (1/4 x² - 2x + 1/3) + (3/4 x² - 7x - 1/12). top-left: Three stacked positive tiles on the left; a dashed rectangular outline with four positive tiles along the top and several negative tiles along the bottom; label under the shape reads "zero pair" and "10x - 4". top-right: A dotted-border square "Just for Fun" box contains a central node connected by lines to six surrounding circles labeled 17x, 12x, -4x, 7x, 12x, and 28x. center: An aligned polynomial addition setup shows 3x²y + 6xy + 8 over 2x²y - 2xy - 11 with the result 5x²y + 4xy - 3. bottom-left: A highlighted "Try it 2" box contains the expression (1/4 x² - 2x + 1/3) + (3/4 x² - 7x - 1/12). bottom-right: A "LET'S TALK" callout asks which method in adding polynomials is easier to use, with the instruction "Discuss."