Question

Please answer these questions.(please include work/explanation)(1)

Answer 1

Answer:

Hi there!

I will help you answering the questions, if you do not understand what I'm working about, you can ask me on comment section.

Number 1

First of all, we need to multiple the separated function.

$\sf2(3x + 4)(x - 1)(x - 3) \\ = \sf(6x + 8)(x - 1)(x - 3) \\ \tt multiple \: the \: first \: equation \\ \tt(6x + 8) \: with \: (x - 1) \\ \sf = (6x \times x + 6x \times - 1 + 8 \times x + 8 \times - 1)(x - 3) \\ = \sf({6x}^{2} + 2x - 8)(x - 3) \\ \tt then \: multiple \: the \: last \: one \\ \tt (6 {x}^{2} + 2x - 8) \: with \: (x - 3) \\ \sf = \boxed{ \bold{ \red{ {6x}^{3} - 16x {}^{2} - 14x + 24}}}$

So the right answer is A

━━━━━━━━━━━━━━━━━

Number 2

the graph has four zeros at :

• -4
• -2/3
• 0
• 9

After that we make them equal with 0, here is the thing:

x = -a is equal with x + a = 0

So we can conclude that :

• -4 → x + 4 = 0
• -2/3 → 3x + 2 = 0
• 0 → x = 0
• 9 → x - 9 = 0

Then we substitute them to a function :

x(x + 4)(3x + 2)(x - 9) = 0

3x⁴ - 13x³ - 118x² - 72x = 0

Then we looking on the option which one is equal with the answer above.

The right answer is B

━━━━━━━━━━━━━━━━━

Hope It Helps!