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Let get precalculus problems solved

Studying advanced form of secondary level algebra also known as preclculus, precalculus is one of the foundational mathematical discipline. Precalculus is described as introduction for analysis. It is also a relationship between algebra and calculus.

Get help with precalculus homework help free. Precalculus is deeply explained in algebra; it presents a complete view of the trigonometry, progressing from right triangle based definitions to functions of real numbers and their graphs. Also get information on algebra word problems free

Precalculus also describes about hyperbolas, circles, trigonometric ratios, limit of a function, etc.

About factors

What is factor by grouping?

In mathematics, factoring is one of the important topic in algebra. Given expression can be factored by using the method of factoring by grouping.

The given polynomial expression can be factored by different methods that are factoring by grouping, using trinomials by ac method, and group the polynomials more than two groups. Let us solve some example problems in factoring by grouping, also get help with differentiation rules

Different steps to solve factoring using trinomials ac method are,

• Given trinomials
• Given trinomials is in the standard form ax² + bx + c.
• Multiply the coefficients a and c in the expression.
• Different ways to get the product of ac, we multiply two integers.
• If we add a and c then we get the result as equals to b means choose that way.
• Factor the expression by grouping
  
• Solve the terms.

Learning work out percentages

Introduction to How to work out percentages

In mathematics, a percentage is a way of expressing a number as a fraction of 100 (per cent meaning "per hundred" in French). It is often denoted using the percent sign, "%", or the abbreviation "pct". For example, 45% (read as "forty-five percent") is equal to 45 / 100, or 0.45. Let us see how to work out percentages.

When estimating percentages mentally, I usually don't worry about accuracy. As I practice mentally more and more, you cal also learn multiple meaning words activities I get closer to the exact number. (...science tells that accuracy depends on the measurement tool on hand: in this case, our brain). Or, if today I'm lazy to think, I just use a calculator, or fingers to count. It doesn't matter

Hope you liked the above post, learn more about Heptagon

Polynomial Equations

A Polynomial equations is an equation that can be written in the form
axn + bxn-1 + . . . + rx + s = 0,
where a, b, . . . , r and s are constants.

We call the largest exponent of x appearing in a non-zero term of a polynomial the degree of that polynomial.


A linear equation in two variables is an equation that can be written in the form
Ax + By = C, where A and B are not both 0.

This form is called the standard form of a linear equation.

Graphing linear equations involves three steps:-

Find three ordered pair solutions.
Plot the points found in step 1. The point lines up with both the x value of the ordered pair (x-axis) and the y value of the ordered pair (y-axis).

Draw the graph: A linear equation will graph as a straight line.

Will come next with Polynomial expression.

Area of a Square formula

Area is a quantit expressing the two dimensional size of a defined part of a surface, typically a region bounded by a closed curve. Area is an important invariant in the differentialgeometry of surface.


The area of a figure measures the size of the region enclosed by the figure. This is usually expressed in terms of some square unit. A few examples of the units used are square meters, square centimeters, square inches, or square kilometers.

The area of a square can be found by multiplying the base times itself. This is similar to the area of a rectangle but the base is the same length as the height.

The area of a square formula

Area = width × height

A hexagon is a polygon with six edges and six vertices.

The area of a hexagon can be found by the formula

A=ap/2,

where a is the apothem and p is the perimeter.

A triangle is a three-sided polygon.

The area of a triangle can be found from the below formula;

A = ½*base*height

AREA OF A TRIANGLE

There are several ways to compute the area of a triangle. For instance, there's the basic formula that the area of a triangle is half the base times the height. This formula works only when you know the height and base of the triangle.

There is another area of a triangle formula known as the Heron's formula which gives the area in terms of the three sides of the triangle, specifically, as the square root of the product s(s – a)(s – b)(s – c) where s is the semiperimeter of the triangle, that is, s = (a + b + c)/2.

This formula can be used when we know two sides and the included angle of the triangle. Suppose we know the values of the two sides a and b of the triangle, and the included angle C, then we can get the area of the same triangle by applying the above formula.

Let us now calculate area of a triangle in the below examples.

Example 1) Calculate area of a triangle with base as 12cms and height as 10cms

Area of a Triangle = ½* base*height

A = ½*12*10

A = 60cms

Example 2) Calculate area of a triangle with base as 5cms and height as 8cms

Area of a Triangle = ½* base*height

A = ½5*8

A = 20cms

COMPLEX NUMBERS

Complex Numbers Definition: A complex number is a number consisting of a real and imaginary part. Complex numbers are plotted on the complex plane, on which the real part is on the horizontal axis, and the imaginary part on the vertical axis. Two complex numbers are said to be equal if and only if their real parts are equal and their imaginary parts are equal.

Complex multiplication is a more difficult operation to understand from either an algebraic or a geometric point of view. Multiplying complex numbers is accomplished in a manner similar to multiplying two binomials. You can use the FOIL process of multiplication, the distributive property, or your personal favorite means of multiplying.

The conjugate of a complex number a + bi is the complex numbers a - bi.
For example, the conjugate of 4 + 2i is 4 - 2i.