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3 years ago

Which is the correct estimation and justification for the problem shown below?

Mathematics

1 answer:

lilavasa [31]3 years ago

7 0

Answer:

2×5=10

Step-by-step explanation:

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Verify in the following whether g(x) is a factor of p(x)

notsponge [240]

$\red{\large\underline{\sf{Solution-i}}}$

Given that,

$\rm \longmapsto\: p(x) = {x}^{4} - {x}^{3} - {x}^{2} - x - 2$

and

$\rm \longmapsto\:g(x) = x - 2$

We know,

Factor theorem states that if g(x) = x - a is a factor of polynomial f(x), then remainder f(a) = 0.

So, using Factor theorem, Consider

$\rm \longmapsto\:p(2)$

$\rm \: = \: {2}^{4} - {2}^{3} - {2}^{2} - 2 - 2$

$\rm \: = \: 16 - 8 - 4 - 4$

$\rm \: = \: 16 - (8 + 4 + 4)$

$\rm \: = \: 16 - 16$

$\rm \: = \: 0$

$\rm\implies \:p(2) \: = \: 0$

So, 

$\bf\implies \:g(x) \: is \: factor \: of \: p(x)$

$\red{\large\underline{\sf{Solution-ii}}}$

$\rm \longmapsto\: p(x) = 2{x}^{3} + {x}^{2} - 2x + 1$

and

$\rm :\longmapsto\: g(x) = x + 1$

Now, By using Factor Theorem, Consider

$\rm \longmapsto\:p( - 1)$

$\rm \: = \: 2 {( - 1)}^{3} + {( - 1)}^{2} - 2( - 1) + 1$

$\rm \: = \: - 2 + 1 + 2 + 1$

$\rm \: = \: 2$

$\rm\implies \:p( - 1) \: \ne \: 0$

So, 

$\bf\implies \:g(x) \: is \: not \: a\: factor \: of \: p(x)$

8 0

3 years ago

Cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc what is 2x+9=35

creativ13 [48]

2x + 9 = 35

We subtract 9 in both sides:
2x + 9 - 9 = 35 - 9
2x = 26
We then divide 2 in both sides:
x = 13

7 0

3 years ago

Read 2 more answers

The simplified form of an expression is 1/258 t^28. Which expression was simplified

Aleksandr-060686 [28]

1/258 *(t^28)
= t^28 / 4^4
= t^28 4^-4
= (t^-7 * 4)^-4
= (4t^-7)^-4

answer is D. last option

7 0

3 years ago

Read 2 more answers

Ms.James shared 5/8 of the candies she had in a bag and had 15 left.How many candies did she have before sharing?

Tatiana [17]

Answer:

Step-by-step explanation:

If you take 15, and divide it by the 3 out of the 3/8 left, you get 5. You then multiply 5 by 8 to get the full amount of candies she had before sharing, 40.

I hope this helped!

Thanks!

Your friend in answering,

~Steve

6 0

3 years ago

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What is the Exponent for 54

Shkiper50 [21]

Answer:

it is 54

Step-by-step explanation:

8 0

4 years ago