MATHEMATICS MIDDLE SCHOOL

Factoring a Polynomial Using a Geometric ModelUse a geometric model to factor 3x2 + 4x + 1 by following
these steps

Step 1: Model the trinomial by placing tiles to form a
rectangle in the top left corner of the Product
section

Answers

Answer 1
Answer:

The given polynomial can be factored as (x + 1)(3x + 1).

Given a polynomial expression:

3x² + 4x + 1

It is required to factor the polynomial.

Take the 3 as common, then the polynomial can be expressed as:

3(x² + 4/3 x + 1/3)

Consider x² + 4/3 x + 1/3.

Here this can be factorized as (x + p)(x + q), where pq = 1/3 and p + q = 4/3.

Two such numbers are 1 and 1/3, since 1(1/3) = 1/3 and 1 + 1/3 = 4/3.

So, the polynomial can be written as:

(x + 1)(x + 1/3)

So, 3x² + 4x + 1 = 3(x + 1)(x + 1/3)

                         = (x + 1)(3x + 1)

Learn more about Factoring here :

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Answer 2
Answer:

Step-by-step explanation:

okay it's so this question I'm not used to embed geometric model so I'm going to use the normal factorization to find an answer for you so far to factorise this have to face multiply the coefficient of x squared by 1 to get 33 now find address of 3 that add them or you multiply them you get false widows actors are three positive 3 and positive one so you now get 3x squared + x + 3 x + 1 equal to 0 so you factorise the expression and a yoghurt angry to get butter to pin x + 1 (close x button to be in 3 x + 1 equal to 0 then you get your answer to b x equal to -1 or x is equal to -1/3 so

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Answers

the fist one is b, second one is d, and the last one also d
The answer is first one:b, second one:d, and The last one is also d

[hope this helps]

A crane is rented at $1000 per day plus a charge per hour of use. The crane was used for 7 hours on a day, and the total charge was $3450. Which equation can be used to find the charge x, in dollars, per hour of use?

Answers

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The Hu family goes out for lunch, and the price of the meal is $49. The sales tax on the meal is 7%, and the family also leaves a 20% tip on the pre-tax amount. What is the total cost of the meal?

Answers

Answer:

50 balls

Step-by-step explanation:

First divide 10 by 2=5x10

What is the volume of the right prism? *
6 cm
4 cm
16 cm

Answers

Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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you didnt say which is length, width, or height so idk if this is right

Find the measure of b.

Answers

Answer:

74°

Step-by-step explanation:

b + 16°= 90°

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the steps to the equation

I need help on this question plz

Answers

Given is triangle with base = 10 cm and perpendicular height = 3 cm.

We know the formula for area of triangle is given by :-

Area = (1)/(2) × (Base) × (perpendicular height)

Area = (1)/(2) × (10) × (3)

Area = (30)/(2)

Area = 15 cm²

So, final answer is 15 cm².
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