Multiply p(x)=x*2-9 and q(x)=6x*3-5x*2-28x+15
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p(x) = x² - 9
q(x) = 6x³ - 5x² - 28x + 15
Therefore,
p(x) × q(x)
= (x² - 9) × (6x³ - 5x² - 28x + 15)
= x² × (6x³ - 5x² - 28x +15)
- 9 × (6x³ - 5x² - 28x +15)
= 6x⁵ - 5x⁴ - 28x³ + 15x²
- 54x³ + 45x² + 252x - 135
= 6x⁵ - 5x⁴ - 82x³ + 60x² + 252x -135
So,
p(x) × q(x) = (x² - 9) × (6x³ - 5x² - 28x + 15)
= 6x⁵ - 5x⁴ - 82x³ + 60x² + 252x -135
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