Question

Multiply p(x)=x*2-9 and q(x)=6x*3-5x*2-28x+15​

Answer 1

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