Given the polynomial 6x3 + 4x2 - 6x - 4, what is the value of the coefficient 'k' in the factored form?

2 answers:

7 0

6 x³ + 4 x² - 6 x - 4 = 2 x² ( 3 x + 2 ) - 2 ( 3 x + 2 ) =
= ( 3 x + 2 ) ( 2 x² - 2 ) =
= 2 ( 3 x + 2 ) ( x² - 1 ) =
= 2 ( x + 1 ) ( x - 1 ) ( 3 x + 2 )
Answer: k = 1

Taya2010 [7]3 years ago

5 0

6 x³ + 4 x² - 6 x - 4 = 2 x² ( 3 x + 2 ) - 2 ( 3 x + 2 ) =

= ( 3 x + 2 ) ( 2 x² - 2 ) =

= 2 ( 3 x + 2 ) ( x² - 1 ) =

= 2 ( x + 1 ) ( x - 1 ) ( 3 x + 2 )

Answer: k = 1

hope this helps!!!

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A rectangular pool has dimensions of 40 ft. and 60 ft. The pool has a patio area around it that is the same width on all sides.I

ladessa [460]

Area of pool edge = Area of big rectangle - Area of the pool

Area of pool edge = Area of the pool = 40 × 60 = 2400 ft²

2400 = Area of big rectangle - 2400
Area of big rectangle = 2400 + 2400
Area of big rectangle = 4800

Length × width = 4800

From the diagram, we need the length to be [x + x] more than the length of the pool, where x is the distance from the pool edge to the patio edge.

We also need the width of the big rectangle to be [[x + x] more than the width of the pool.

Length = 60 + 2x
Width = 40 + 2x

Length × Width = [60+2x] × [40+2x]
4800 = 2400 + 120x + 80x + 4x²
0 = 4x² + 200x - 2400
0 = 4[x² + 50x - 600]
0 = x² + 50x - 600
0 = [x - 60] [x + 10]

x - 60 = 0 OR x + 10 = 0
x = 60 OR x = -10

We can only use the positive value of x since the context is length

Hence, x = 60