Factoring is writing an expression as a product of factors. Common? Difference of squares Pattern Easy Ugly ex. Factor x2 – 6x -16 Find two numbers whose product is -16 and whose sum is -6: 2 and -8. So, (x + 2) (x – 8) ex. Factor 3y(y + 2) – 9 (y +…
An equation in general form, y = ax2 + bx + c, can be written in standard form, y = a(x – p)2 + q. We convert general form to standard form to find out more characteristics of the graph. This can be done by completing the square. To convert from standard from to general form we expand the equation. General…
https://www.salon.com/1997/11/14/cov_14feature_3/ This article is about body image and how attitudes to the body are passed down through generations. It immediately caught my eye because body image is a very concerning problem in today’s society. I was compelled to this article specifically because it talks about eating disorders and how people are influenced by others. I liked…
A quadratic function is any function that can be written in the form y = ax2+bx+c. This is called the general form of the equation of a quadratic function. The graph of every quadratic function is a parabola. The vertex of a parabola is its highest or lowest point. The vertex may be a minimum point or…
The expression, b2 – 4ac, is called the discriminant of the quadratic equation. The discriminant tells us how many solutions an equation has. The quadratic equation ax2 + bx + c = 0 has: two real roots when b2 – 4ac > 0 ex. x2 – 6x + 5 = 0 (-62 ) – 4(1)(5) 36 – 20…
The quadratic equation, ax2 + bx + c = 0, where a, b, and c are constants and a ≠ 0, has the roots: You can solve a quadratic equation of the form x2 + bx + c = 0 or ax2 + bx + c = 0 by plugging in the a, b, and c values.
https://www.theatlantic.com/health/archive/2013/11/why-were-sometimes-kind-without-reason/281556/ I was very curious when I saw the title of this article. I was instantly intrigued by this topic and I wanted to learn more about human behaviour and human response. This article is interesting because it describes many reasons as to why we act the way we do in different situations without even…
Consider the equation To solve the equation, we need to isolate x. Square roots and squaring are inverse operations. So, square both sides of the equation to “undo” the square root. , Now, we subtract 1 from each side to get rid of the 1 added to the equation. Remember; what you do to one…
To add or subtract radicals, you combine like terms. The radicand and index must be the same. Only the coefficient will change. Simplify: First, you need to change the entire radicals to mixed radicals. and are like terms because they have the same radicand and the same index. and are also like terms and can…
The absolute value of a real number is defined as the principal square root of the square of a number. The absolute value of a number is the distance of the number from 0 on a number line. The absolute value is always positive. On the number line below, the numbers -4 and 4 is located…
