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Liono4ka [1.6K]
3 years ago
11

Factor the trinomial step by step & explain 2x^2+ 5x + 3

Mathematics
1 answer:
Colt1911 [192]3 years ago
8 0

Answer:

One way to factor equation is to find the zeros. Its obvious that x=-1 is solution for this. So one factor is (x+1)

the next factor should include 2x at first (because we have 2x^2 in the equation which can not be made any other way)

Let's suppose the factor is (x+1)(2x+b)

Since we do not know what is b open the brackets 2x^2+bx+2x+b. If this is equal to 2x^2+5x+3 then b=3. We are left with (x+1)(2x+3)=2(x+1)(x+3/2)

Would go for other shorter solutions, but they require some deeper understanding like Horner's scheme,Fermat's Theorem or even deeper which I assume You will not understand)

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What is the value of x in the figure below?
cluponka [151]

Answer:

choice f

Step-by-step explanation:

take ∆ abc

ab^2 = ac^2 + ab^2

400 = 225 + ab^2

ab =√ 175

∆aDB

bd = 20-x

ad^2 = 175 -(20-x)^2

∆acd

225 = x^2 + 175 - 400+ 40x - x^2

225 = -225 + 40x

450 = 40x

x = 45/4

8 0
2 years ago
Help anyone know this??? Math question
Anettt [7]
<h3>Answer: Choice B) n+n+2 \ge 84</h3>

===========================

Explanation:

n = first number

n+2 = second number

Consecutive odd integers are odd numbers that follow one after another. Eg: {3, 5, 7, 9}

Note how I add 2 each time to get the next number. So that explains the "n+2"

Add up n and n+2, then set that sum equal to or larger than 84 like so

n+n+2 \ge 84

We could simplify or solve for n, but I'll stop here since this is what answer choice B is saying.

side note: "at least" means "that value or more". So if I said "at least 10", then I mean "10 or more".

6 0
4 years ago
Read 2 more answers
What is the LCM of 33y^3, 33y, 22x^2y
lidiya [134]
LCM - means least common multiple
3 0
3 years ago
Jacob wants to use an elevator to carry identical packages having the same weight. Each package weighs 3 pounds and Jacob weighs
zimovet [89]

Answer:

Your answer is B

Step-by-step explanation:

Take 300 and subtract it by 99 you'll get 201

3 times 67 is 201

Which is why your answer is B!




Hope this helps! -Queenb369


(P.S, If you could give me the brainlist if i'm right, that will be great thanks!)


6 0
4 years ago
Read 2 more answers
What is the next term in the sequence? 7, 18, 29, 40, . . .
erik [133]

Answer:

first Let's find the common difference

an=a1+(n-1)d

let's take A2 that is 18

so 18=7+(2-1)d

18=7+d

d=11

so the next term is going to be 40+11 that is 51

7 0
4 years ago
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