Determine if the pair of factors matches the given polynomials. Put a check (/) in the space provided if they match; if not, supply the correct factors.
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) in the space provided if they match; if not, supply the correct factors.
Determine if the pair of factors matches the given polynomials. Put a check (/) in the space provided if they match; if not, supply the correct factors.
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Step-by-step explanation:
1. x³ - a³
= (x - a) × (x² + xa + a²)
= (x - a) × (x² + ax + a²) ✓
Pormula/(Rumus):
a³ - b³ = (a - b) × (a² + ab + b²)
---------------------
2. 27z³ + 1
= (3³)z³ + (1)³
= (3z)³ + (1)³
= (3z + 1) × ((3z)² - 3z × 1 + 1²))
= (3z + 1) × ((3²)z² - 3z + 1))
= (3z + 1) × (9z² - 3z + 1) ✓
Pormula/(Rumus):
a³ + b³ = (a + b) × (a² - ab + b²)
---------------------
3. x² + 6x + 8
= x² + 4x + 2x + 8
= x × (x + 4) + 2(x + 4)
= (x + 4) × (x + 2) ✓