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2 years ago

Which of the following factored forms given below represent the correct factorization of the trinomial x^2 + 10x + 16

Mathematics

2 answers:

lora16 [44]2 years ago

8 0

Answer:

2. (2 + x ) ( 8 + x)

Step-by-step explanation:

x^2 + 10x + 16

Factor

What two numbers multiply to 16 and add to 10

8*2 = 16

8+2 = 10

(x+8)(x+2)

valina [46]2 years ago

5 0

It would be 2 since that would give you the trio mail if expanded

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Answer:

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Step-by-step explanation:

It is given in the question functions f(x) as 3x+2 and g(x)=5-6x.

It is required to find $(f \circ g)(x)$ and $(g \circ f)(x)$ .

To find $(f \circ g)(x)$ , substitute g(x) for x in f(x) and simplify the expression.

To find $(g \circ f)(x)$ , substitute f(x) for x in g(x) and simplify the expression.

Step 1 of 2

Substitute g(x) for x in f(x) and simplify the expression.

$\begin{aligned}&(f \circ g)(x)=f(5-6 x) \\&(f \circ g)(x)=3(5-6 x)+2 \\&(f \circ g)(x)=15-18 x+2 \\&(f \circ g)(x)=17-18 x\end{aligned}$

Step 2 of 2

Substitute f(x) for x in g(x) and simplify the expression.

$\begin{aligned}&(g \circ f)(x)=g(3 x+2) \\&(g \circ f)(x)=5-6(3 x+2) \\&(g \circ f)(x)=5-18 x-12 \\&(g \circ f)(x)=-7-18 x\end{aligned}$

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