Which shows one way to determine the factors of x3 + 4x2 + 5x + 20 by grouping?
which shows one way to determine the factors of x3 + 11x2 – 3x – 33 by grouping?

all work is pictured and shown

1). (x² + 5) and (x + 4)

2). (x²- 3) and (x + 11)

Step-by-step explanation:

We have to determine the factors of the given expression (x³ + 4x² + 5x + 20) by grouping method.

x³ + 4x² + 5x + 20

= x²(x + 4) + 5(x + 4)

= (x² + 5)(x + 4)

Therefore, factors of the given expression are (x² + 5) and (x + 4).

Second expression is (x³ + 11x² - 3x - 33)

Now we will find the factors of this expression by grouping.

x³ + 11x² - 3x - 33

= x²(x + 11) - 3(x + 11)

= (x² - 3)(x + 11)

Therefore, the factors of the given expression are (x² - 3) and (x + 11).

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

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the range is  

y

≤

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or  

y

≥

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.

(

−

∞

,

−

2

]

∪

[

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,

∞

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{

y

|

y

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,

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step-by-step explanation: