Question

Please help me with this (20 points)

Answer 1

Answer:

x³-2x²-22x-21

Step-by-step 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 ~