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inessss [21]
3 years ago
12

is (x+5) a factor of f(x)=x^3-4x^2+3x+7? use either the remainder theorem of the factor theorem to explain your reasoning ​

Mathematics
1 answer:
Pepsi [2]3 years ago
6 0

Answer:

ANSWER

Not a factor

EXPLANATION

The given polynomial has equation:

According to the remainder theorem, if (x+5) is a remainder, then f(-5)=0.

Let us substitute x=-5 into the function and evaluate to see if it will simplify to zero.

Since the remainder is not zero, x+5 is not a factor of

Step-by-step explanation:

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Answer:

Answer Choice A (8, eight)

Step-by-step explanation:

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8 0
2 years ago
Determine whether these statements are true or false. a) ∅ ∈ {∅} b) ∅ ∈ {∅,{∅}} c) {∅} ∈ {∅} d) {∅} ∈ {{∅}} e) {∅} ⊂ {∅,{∅}} f )
Pavel [41]

Answer:

a) ∅ ∈ {∅} TRUE

b) ∅ ∈ {∅,{∅}}  TRUE

c) {∅} ∈ {∅}  FALSE

d) {∅} ∈ {{∅}} TRUE

e) {∅} ⊂ {∅,{∅}} TRUE

f ) {{∅}} ⊂ {∅,{∅}} TRUE

g) {{∅}} ⊂ {{∅},{∅}}FALSE

Step-by-step explanation:

To assess whether these statements are true or false, first observe the symbol:

"∈" means that element, as it is and as it is, belongs to the set. To belong to the set it must be within the symbols "{}"

On the other hand, the symbol "⊂" means "subset", that is, it is a subset that is included in the main set.

So:

c) is false because "{∅}" is not included in the set

g) is false because " {{∅}}" is not included in the set

7 0
3 years ago
Factor the polynomial:<br> 462 + 15b - 4
kirza4 [7]

Answer:

15(\frac{458}{15}+b) or

15(b+\frac{458}{15})

Step-by-step explanation:

First we can subtract the 4.

458 + 15b

Now we need to find the GCF, but they do not share any kinds of factors together. This might look ugly, but it is what it is. We factor out 15 to get b by itself.

15(\frac{458}{15}+b) or

15(b+\frac{458}{15})

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3 years ago
What is (1/2) by the third power?
mina [271]

Answer:1/8

Step-by-step explanation:

3 0
3 years ago
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