Question

Please help me with this (20 points)

Answer 1

x³-2x²-22x-21

Explanation:

(x+3) (x²-5x-7)

x³-5x²-7x+3x²-15x-21

x³-2x²-22x-21

Answer 2

`Answer☘️`

`\large{\underline{ \boxed{ \sf{✰\:Important\:points }}}}`

`\pink {\underline{ \boxed{ \sf{»\:distributive\:property }}}}`

⇝A property of functions that have a rule describing how the function can be performed to the individual components of another operation.

⇝If the operation ★ is distributive with respect to the operation °, then a★(b°c)=(a★b)°(a★c).

`\sf➛(x + 3)( {x}^(2) - 5x - 7) \\`

`\\ \sf \:➛ distributing \: x \: with \: ( {x}^(2) - 5x - 7) \\ \sf \: then \\ \sf \:➛ 3 \: with \: ({x}^(2) - 5x - 7)`

`\sf \: ➛gives \\ \sf \: ➛{x}^(3) - 5 {x}^(2) - 7x + 3{x}^(2) - 15x - 21 \\`

• Now arranging terms
• then adding nd subtracting like terms gives you:-

`\sf➛{x}^(3) + 2 {x}^(2) - 22x - 21`

`\underline{ \boxed{ \sf{✰\: Option\:D✓ }}}`

Hope it helps ~