Brian McLogan
How to use the zero product property to solve trig sinx
π Learn how to solve trigonometric equations using the zero product property. The zero product property states that when the product of two quantities is equal to 0, then either of the quantities is zero. When solving factored...
Brian McLogan
Solve by factoring when a perfect square
πLearn how to solve a quadratic equation by factoring a perfect square trinomial. A perfect square trinomial quadratic equation is of the form y = x^2 +2cx + c^2, where c is a perfet square. There are couple of ways we can solve a...
Brian McLogan
How to factor a trinomial with a negative middle term
πLearn how to factor quadratics. A quadratic is an algebraic expression having two as the highest power of its variable(s). To factor an algebraic expression means to break it up into expressions that can be multiplied together to get...
Brian McLogan
Applying Rational Zero Test Then Find All of the Zeros
π Learn how to find all the zeros of a polynomial that cannot be easily factored. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. The zeros...
Brian McLogan
How to apply synthetic division when the zero is a fraction
π Learn about dividing by synthetic division when the divisor is a fraction. Synthetic division is a method of dividing polynomials by linear expressions. To divide using synthetic division, we equate the divisor to 0 and then solve for...
Brian McLogan
How to Determine the Zeros of a Polynomial
π Learn how to find all the zeros of a polynomial that cannot be easily factored. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. The zeros...
Brian McLogan
How to divide a binomial polynomial into a quadratic polynomial
π Learn how to divide polynomials by binomial divisors using the long division algorithm. A binomial is an algebraic expression having two terms. Before dividing a polynomial, it is usually important to arrange the divisor in the...
Brian McLogan
Find the roots of a quadratic equation by factoring
π Learn how to find all the zeros of a polynomial that cannot be easily factored. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. The zeros...
Brian McLogan
Factor by grouping and GCF
Learn how to factor expressions of two variables by grouping. To factor an algebraic expression means to break it up into expressions that can be multiplied together to get the original expression. When a given expression can be grouped...
Brian McLogan
Find the value c that completes the square, x^2 - 4x + c
π Learn how to find the value c that completes the square in a quadratic expression. A quadratic expression is an expression whose highest exponent in the variable(s) is 2. It is of the form ax^2 + bx + c where a, b, and c are constants....
Brian McLogan
Find all the possible rational zeros given a polynomial
π Learn how to use the Rational Zero Test on Polynomial expression. Rational Zero Test or Rational Root test provide us with a list of all possible real Zeros in polynomial expression. Rational Zero Test can be helpful to find all the...
Brian McLogan
Factoring using difference of two squares by factoring out a variable
π Learn how to factor polynomials using the difference of two squares for polynomials raised to higher powers. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are...
Brian McLogan
Factoring by grouping with multiple variables
Learn how to factor expressions of two variables by grouping. To factor an algebraic expression means to break it up into expressions that can be multiplied together to get the original expression. When a given expression can be grouped...
Brian McLogan
Factoring Blitz # 2 - Factoring by grouping - Online Tutor
Learn how to factor polynomials by grouping. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. To factor an algebraic expression means to break...
Brian McLogan
Factor a trinomial by first factoring out the GCF
π Learn how to factor polynomials by GCF. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. To factor an algebraic expression means to break it...
Brian McLogan
Zeros of Polynomials | Polynomials | Pre-Calculus
In this video we will cover how to determine the real zeros of a polynomial by factoring as well as writing the equation of a polynomial given the zeros and multiplicity. We will focus on factoring polynomials with two, three and four...
Brian McLogan
Simplifying complex fractions
π Learn how to simplify complex fractions. To simplify complex fractions having the addition/subtraction of more than one fractions in the numerator or/and in the denominator we first evaluate the numerator or/and the denominator...
Brian McLogan
Solving a rational equation by not using cross multiplication
π Learn how to solve proportions. Two ratios are said to be proportional when the two ratios are equal. Thus, proportion problems are problems involving the equality of two ratios. When given a proportion problem with an unknown, we...
Brian McLogan
Learn how to factor an expression with the GCF
π Learn how to factor polynomials by GCF. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. To factor an algebraic expression means to break it...
Brian McLogan
Dividing two rational expressions by factoring and simplifying
Learn how to divide rational expressions. A rational expression is an expression in the form of a fraction, usually having variable(s) in the denominator. Recall that to divide by a fraction, we multiply by the reciprocal of the...
Brian McLogan
Multiplying a monomial by a binomial
In this video playlist I will show you the basics for polynomial functions. We will start with factoring polynomial equations to determine the zeros of a polynomial. We will then learn how to write the polynomial given a set of zeros....
Brian McLogan
Learn how to add two rational expressions by finding the LCD
Learn how to add/subtract rational expressions with trinomials in the denominator. When adding or subtracting two or more rational expressions with common denominators, we add or subtract only the numerator while we keep the denominator...
Curated Video
Distributive Property and Factoring
Factor expressions using the distributive property.