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n200080 [17]
3 years ago
14

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!! I CANNOT RETAKE THIS!!

Mathematics
2 answers:
siniylev [52]3 years ago
8 0
No yes yes yes no ; sol. when x=4 , f(x) = 0 ,so (x-4) is right answer.....
rewona [7]3 years ago
3 0

Answer: YES → (x + 2) (x - 4) (x + 4)

                NO → (x - 2) (x + 6)

<u>Step-by-step explanation:</u>

The best way to answer this question is to factor the given polynomial and then look at the choices at the botom of your screeen.

f(x) = x³ + 2x² - 16x - 32

0 = x³ + 2x²     - 16x - 32

    = x²(x + 2)     -16(x + 2)

    = (x + 2)(x² - 16)

    =     ↓    (x - 4)(x + 4)

    = (x + 2)( x - 4)(x + 4)

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Tanya has a garden with a trench around it. The garden is a rectangle with width 2 1/2 m and length 2 m. The trench and garden t
vichka [17]

Answer:

The area of a trench is 5.5 m² .

Step-by-step explanation:

Formula

Area of a rectangle = Length × Breadth

As given

Tanya has a garden with a trench around it.

The\ garden\ is\ a\ rectangle\ with\ width\ 2\frac{1}{2}\ m\ and\ length\ 2\ m.

i.e

The\ garden\ is\ a\ rectangle\ with\ width\ \frac{5}{2}\ m\ and\ length\ 2\ m.

Put in the above formula

Area\ of\ garden = \frac{5\times 2}{2}

                             = 5 m²

As given

The\ trench\ and\ garden\ together\ make\ a\ rectangle\ with\ width\ 3 \frac{1}{2}\ m\ and\ length\ 3 m.

i.e

The\ trench\ and\ garden\ together\ make\ a\ rectangle\ with\ width\ \frac{7}{2}\ m\ and\ length\ 3 m.

Area\ of\ garden\ with\ trench = \frac{7\times 3}{2}

Area\ of\ garden\ with\ trench = \frac{21}{2}

                                                  = 10.5 m²

Area of the trench = Area of garden with trench - Area of garden

Put the value in the above

Area of the trench = 10.5 m² - 5 m²

                               = 5.5 m ²

Therefore the area of a trench is 5.5 m² .


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