The discriminant is the part of the quadratic formula underneath the square root symbol: b²-4ac. The discriminant tells us whether there are two solutions, one solution, or no solutions.

What is a discriminant formula?

The discriminant is the part of the quadratic formula underneath the square root symbol: b²-4ac. The discriminant tells us whether there are two solutions, one solution, or no solutions.

What is the formula for Factorisation?

The general factorization formula is expressed as N = Xa × Yb × Zc. Here, X, Y, Z represent the factors of a factorized number.

What are the four algebraic terms?

They are: monomial, polynomial, binomial, trinomial, multinomial.

• Monomial: An algebraic expression which consists of one non-zero term only is called a monomial.
• Polynomial: An algebraic expression which consists of one, two or more terms is called a polynomial.

What are the 5 rules of factoring?

Algebra II/Factoring Rules

• 1 1. GCF.
• 2 2. Difference of two squares: a2 – b2 = (a+b)(a-b)
• 3 3. Trinomial whose leading coefficient is one.
• 4 4. Sum of two cubes: a3 + b3 = (a+b)(a2 – ab + b2)
• 5 5. Perfect Square Trinomials: a2 + 2ab + b2 = (a+b)2
• 6 6. Factor by Grouping.

What is vertex example?

Vertex typically means a corner or a point where lines meet. For example a square has four corners, each is called a vertex. The plural form of vertex is vertices. (Pronounced: “ver – tiss- ease”).

How do you find H and K?

For a given quadratic y = ax2 + bx + c, the vertex (h, k) is found by computing h = −b/2a, and then evaluating y at h to find k.

What is algebraic expression formula?

An algebraic expression is an expression that consists of constants, variables, and some algebraic operations. For example, 3x^2 − 2xy + d is an algebraic expression. Thus, an algebraic expression is built up from three types of basic elements: Coefficient (i.e. numbers)

What is the discriminant of 2×2 6x 3 0?

iii) 2×2 – 6x + 3 = 0. b2 – 4ac is called the discriminant of the quadratic equation and we can decide whether the real roots exist or not based on the value of the discriminant. Hence the equation has no real roots. Hence the equation has two equal real roots.

How do you factor 5400?

Factors of 5400 are integers that can be divided evenly into 5400….The factors of 5400 in pairs are:

1. 1 × 5400 = (1, 5400)
2. 2 × 2700 = (2, 2700)
3. 3 × 1800 = (3, 1800)
4. 4 × 1350 = (4, 1350)
5. 5 × 1080 = (5, 1080)
6. 6 × 900 = (6, 900)
7. 8 × 675 = (8, 675)
8. 9 × 600 = (9, 600)

What does factorise mean in math?

Factorising is the reverse process of expanding brackets. To factorise an expression fully, means to put it in brackets by taking out the highest common factors. The simplest way of factorising is: Find the highest common factor of each of the terms in the expression.

What is vertex algebra?

Main Concept. The vertex of a parabola is the point at the intersection of the parabola and its line of symmetry. For a parabola whose equation is given in standard form , the vertex will be the minimum (lowest point) of the graph if and the maximum (highest point) of the graph if .