PROBLEM:
Add and Subtract each polynomials.
12) (4x² + 5x + 7) + (3x² - 8x + 12)
14) (3x² + 5x - 8) + (x² - 3x + 2)
ANSWER N SOLUTION:
12) (4x² + 5x + 7) + (3x² - 8x + 12)
Determine the signs
→ 4x² + 5x + 7 + 3x² - 8x + 12
Reorder and gather like forms
→ (4x² + 3x²) + (5x - 8x) + (7 + 12)
Collect coefficients of like terms
→ (4 + 3)x² + (5 - 8) × x + (7 + 12)
Calculate the sum or difference
= 7x² - 3x + 19
14) (3x² + 5x - 8) + (x² - 3x + 2)
Determine the sign
→ 3x² + 5x - 8 + x² - 3x + 2
Reorder and gather like terms
→ (3x² + x²) + (5x - 3x) + (-8 + 2)
Collect coefficients of like terms
→ (3 + 1)x² + (5 - 3) × x + (- 8 + 2)
Calculate the sum or difference
= 4x² + 2x - 6
