Trinomial x2 + 2x + 1 what are the dimensions of the field, Mathematics

Assignment Help:

A farmer's rectangular field has an area in which can be expressed as the trinomial x2 + 2x + 1. In terms of x, what are the dimensions of the field?

Because the formula for the area of a rectangle is A = length times width, ?nd out the two factors of x2 + 2x + 1 to get the dimensions. First check to see if there is a general factor in each of the terms or if it is the difference among two perfect squares, and it is neither of these. The further step would be to factor the trinomial within two binomials. To do this, you will be doing techniques that resemble FOIL backwards (First terms of each binomial multiplied, Outer terms within each multiplied, inner terms of each multiplied, and Last term of each binomial multiplied.) First results in x2, so the ?rst terms must be: (x  )(x ); Outer added to the Inner combines to 2x, and the Last is 1, so you required to ?nd two numbers in which add to +2 and multiply to +1. These two numbers would have to be +1 and +1: (x + 1)(x + 1). Because the factors of the trinomial are the similar, this is an example of a perfect square trinomial, meaning that the farmer's rectangular ?eld was more speci?cally, a square ?eld. To check to make sure these are the factors, multiply them through using FOIL (First terms of each binomial multiplied, Outer terms in each multiplied, Inner terms of every multiplied, and Last term of each binomial multiplied; (x • x) + (1 • x) + (1 • x) + (1 • 1); multiply within each term: x2 + 1x + 1x + 1; combine such as terms: x2 + 2x + 1.

 


Related Discussions:- Trinomial x2 + 2x + 1 what are the dimensions of the field

Find the area enclosed between two concentric circles, Find the area enclos...

Find the area enclosed between two concentric circles of radii 3.5cm, 7cm. A third  concentric circle is drawn outside the 7cm circle so that the area enclosed between it and the 7

Fractions, how do you convert in a quicker way?

how do you convert in a quicker way?

Earning money, Terry earns $680 per week. He is entitled to 4 weeks annual ...

Terry earns $680 per week. He is entitled to 4 weeks annual leave and receives an additional holiday loading of 17.5%. Calculate his total pay for this holiday period.

probability that they are both the same color, Consider two bags, A and B,...

Consider two bags, A and B, with the following contents a)    A single marble is drawn from each bag. What is the probability of getting a white marble out of Bag A and a red marb

Build an equation for a hyperboloid of two sheets, 1. Build an equation for...

1. Build an equation for a hyperboloid of two sheets with the following properties: a. The central axis of the hyperboloid is the y-axis b. The two sheets are 4 units apart, an

Find the frame of a quadratic polynomial , If α, β are the zeros of the pol...

If α, β are the zeros of the polynomial x 2 +8x +6 frame a Quadratic polynomial whose zeros are a)  1/α and  1/β b) 1+ β/α , 1+ α/β. Ans. P(x) = x 2 +8x +6 α + β = -8

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd