Question

Factorize 25x2+40x+16

208

likes

1040 views

Answer to a math question Factorize 25x2+40x+16

$Expert avatar$

Miles

4.9

114 Answers

1. Identify the form of a perfect square trinomial, which is

(ax)^2 + 2abx + b^2 = (ax + b)^2

.

2. For the trinomial

25x^2 + 40x + 16

, identify that

25x^2 = (5x)^2

and

16 = 4^2

.

3. Check if the middle term

40x

can be expressed as

2 \cdot 5x \cdot 4

:

- Calculate

2 \times 5x \times 4 = 40x

.

4. Since the middle term matches, we can express the trinomial as a perfect square:

25x^2 + 40x + 16 = (5x + 4)^2

.

5. Concluding the factorization:

The factorized form of

25x^2 + 40x + 16

(5x + 4)^2

Frequently asked questions (FAQs)

What is the resultant displacement when adding a vector of magnitude 5 units due north and a vector of magnitude 3 units due east?

Math question: What is the equation of a circle centered at (-3, 2) with a radius of 5?

Math question: What is the probability of rolling a sum of 7 with two fair dice?

New questions in Mathematics

A normally distributed population has a mean of 118 with a standard deviation of 18. What score separates the lowest 72% of the distribution from the rest of the scores?

What is the coefficient of elasticity of the material that must be placed on the heel of the 10 cm high clog, with a base area of 2 cm² so that it deforms only 2 cm when the force on it will be a maximum of 600 N.

Kayla has $8,836.00 in her savings account. The bank gives Kayla 5%of the amount of money in account as a customer bonus. What amount of money does the bank give Kayla? Justify your answer on a 6th grade level.

Determine the absolute extrema of the function 𝑓(𝑥)=𝑥3−18𝑥2 96𝑥 , on the interval [1,10]

6. Among 100 of products there are 20 rejects. We will randomly select 10 of products. The random variable X indicates the number of rejects among the selected products. Determine its distribution.

4x567

(2x+5)^3+(x-3)(x+3)

Divide 22 by 5 solve it by array and an area model

If the midpoint of point A on the x=3 line and point B on the y=-2 line is C(-2,0), what is the sum of the ordinate of point A and the abscissa of point B?

Find each coefficient described. Coefficient of u^2 in expansion of (u - 3)^3

2.380× (1+0.05) / 0.95−0.05

You want to study incomes in a large city. You take a simple random sample of 5012 households and find that the distribution of household incomes is skewed right. If you calculate the mean of the 5012 household incomes will the distribution of mean scores be skewed right as well? Hint: this involves the Central Limit Theorem.

Take the limit of (sin(x-4))/(tan(x^2 - 16) as x approaches 4.

5x+13+7x-10=99

Let x be an integer. Prove that x^2 is even if and only if is divisible by 4.

In an economy with C= 10+0.8 Yd ; I= 20+0.1Y ; G= 100 ; X= 20 ; M=10+0.2Y ; T=-10+0.2Y and R= 10, when knew that Yd= Y-T+R. How much is the budget? A. -23.18 B. -28.13 C. -13.28 D. -32.18

Find the equation of a straight line that has slope 3 and passes through the point of (1, 7) . Write the equation of the line in general forms

Perform operations with the polynomials P(x) = x3 and Q(x) = 2x2 + x – 3x3 : a) P(x) - Q(x)

The average undergraduate cost per tuition, fees, room, and board for all institutions last year was $26,025. A random sample of 40 institutions of higher learning this year indicated that the mean tuition, fees, room, and board for the sample was $27,690, and the population standard deviation is $5492. At the 0.05 level of significance, is there sufficient evidence that the cost has increased? (Remember to follow the steps in hypothesis testing)

Marc, Jean and Michelle have traveled a lot. Marc drove twice as much as Jean, but it was Michelle who drove the most with 100km more than Marc. They respected their objective of not exceeding 1350km of distance. How far did John drive?

Factorize 25x2+40x+16

Answer to a math question Factorize 25x2+40x+16

You might be interested in