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

Differential calculus and probability, Josephine is constructing an open bo...

Josephine is constructing an open box by cutting the squares off the corners of a sheet of paper sized 20cm by 16cm. She is considering options of 3cm, 4cm and 5cm squares in order

Differential Equations, Verify Liouville''s formula for y "-y" - y'' + y = ...

Verify Liouville''s formula for y "-y" - y'' + y = 0 in (0, 1) ?

Actual solution to a differential equation, The actual solution is the spec...

The actual solution is the specific solution to a differential equation which not only satisfies the differential equation, although also satisfies the specified initial conditions

How to left shifts and right shifts a graph, Q. How to Left shifts and righ...

Q. How to Left shifts and right shifts a graph? Ans. When you're translating (shifting) a graph, it's easy to get subtracting and adding mixed up. It seems counter-intuiti

Tangent, A tangent to a curve at a point is a straight line which tou...

A tangent to a curve at a point is a straight line which touches but does not intersect the curve at that point. A slope of the curve at a point is defined as the

Math, there is 22 owls . my mom gave me 6 more . how many owls do they have...

there is 22 owls . my mom gave me 6 more . how many owls do they have

Working definition of continuity , "Working" definition of continuity ...

"Working" definition of continuity A function is continuous in an interval if we can draw the graph from beginning point to finish point without ever once picking up our penci

How to subtract fractions with different denominators, Q. How to Subtract f...

Q. How to Subtract fractions with different denominators? Ans. As with adding fractions, you can't subtract unless the denominators are the same. Here is an example: 9/

DECIMALS, the mass of a container is 5.81kg when full with sugar .the mass ...

the mass of a container is 5.81kg when full with sugar .the mass of container is 3.8kg when 3/8 of the sugar is removed.what is the mass of empty container

Problems involving motion - word problems, Problems Involving Motion - Word...

Problems Involving Motion - Word Problems: How far can a car travelling at a rate of 52 miles per hour travel in 2½ hours? Solution: Using Equation 13: s = vavt

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