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2 years ago

Is (x-2) a factor of 2x^4 - 3x^3 +4x^2 + x +2?

Mathematics

1 answer:

inessss [21]2 years ago

3 0

Answer:

Step-by-step explanation:

If (x - h) is a factor of f(x) then f(h) = 0

Here

f(x) = 2 $x^{4}$ - 3x³ + 4x² + x + 2 and

if divisor (x - 2) is a factor the f(2) = 0

f(2) = 2 $(2)^{4}$ - 3(2)³ + 4(2)² + 2 + 2

= 2(16) - 3(8) + 4(4) + 4

= 32 - 24 + 16 + 4

= 28 ≠ 0

Then (x - 2) is not a factor of the polynomial

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On a certain map, 1.25 inches represents 20 miles. Longwood and Milltown are 5 inches apart on the map. What is the actual dista

Elanso [62]

Divide 5 by 1.25. That equals 4. Multiply 4 by 20 and that equals 80. So its 80 miles between Longwood and Milltown.

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3 years ago

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What is the value of s in the equation 4(2s − 1) = 7s + 12? <br> 12<br> 16<br> 32<br> 34

erastova [34]

You start by distributing: 8s-4=7s+12
Combine like terms: 8s-7s=12+4
Solve and get your answer: s=16

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3 years ago

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A) Dati cinci exemple de numere intregi mai mici ca zero.

12345 [234]

Answer:

Numerele întregi pozitive sunt toate numerele întregi mai mari decât zero: 1, 2, 3, 4, 5, .... Numere întregi negative sunt toate opusele acestor numere întregi: -1, -2, -3, -4, -5, .... Nu considerăm că zero este un număr pozitiv sau negativ. Pentru fiecare număr întreg pozitiv, există un număr întreg negativ, iar acești numere întregi se numesc opuse. De exemplu, -3 este opusul lui 3, -21 este opusul lui 21 și 8 este opusul lui -8. Dacă un număr întreg este mai mare decât zero, spunem că semnul său este pozitiv. Dacă un număr întreg este mai mic decât zero, spunem că semnul său este negativ.

Step-by-step explanation:

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2 years ago

How to find imaginary zeros anf real zeros of F(x)=-4x^5-8x^3+12x

Fofino [41]

Answer:

$x=\{0, -1, 1, -i\sqrt{3}, i\sqrt{3}\}$

Step-by-step explanation:

We are given the function:

$f(x)=-4x^5-8x^3+12x$

And we want to finds its zeros.

Therefore:

$0=-4x^5-8x^3+12x$

Firstly, we can divide everything by -4:

$0=x^5+2x^3-3x$

Factor out an x:

$0=x(x^4+2x^2-3)$

This is in quadratic form. For simplicity, we can let:

$u=x^2$

Then by substitution:

$0=x(u^2+2u-3)$

Factor:

$0=x(u+3)(u-1)$

Substitute back:

$0=x(x^2+3)(x^2-1)$

By the Zero Product Property:

$x=0\text{ and } x^2+3=0\text{ and } x^2-1=0$

Solving for each case:

$x=0\text{ and } x=\pm\sqrt{-3}\text{ and } x=\pm\sqrt{1}$

Therefore, our real and complex zeros are:

$x=\{0, -1, 1, -i\sqrt{3}, i\sqrt{3}\}$

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2 years ago

Which of the following is the contrapositive of the following statement: If it is past 5:00 p.m., Megan’s office building is not

scoundrel [369]

Answer:

Step-by-step explanation:

A contrapositive statement is one that switches the hypothesis and conclusion of a conditional statement and negates both. In our hypothesis,

"If it is past 5:00 p.m., Megan’s office building is not empty", we shall break it into two statements and show the contarpositive of each like shown below.

Hypothesis Contrapositive

Megan’s office building is not empty- Megan’s office building is empty

It is past 5:00 p.m - it is not past 5:00 p.m

And thus the contrapositive statement becomes

If Megan’s office building is empty, then it is not past 5:00 p.m.

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2 years ago