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## Identifying Zeros of Binomials

#### High School - HSA-APR.B.3

How to Identify Zeros of Binomials? Let us first determine what root or a zero of a polynomial is. The root of the polynomial means that by solving a function, you will get a non-zero answer. This value is called the root of a function. However, if by solving a function, your answer is 0, then that means you get no value for solving it. Now, a binomial function means that in a given equation, two unknowns are present. Now, we will find out how we can identify a zero in a binomial equation. Let us take an example of y=x^2+2x-15. First, we need to solve the equation to find out its roots. Let us consider y as zero for solving this problem. x^2+2x-15=0, x^2+5x-3x-15=0, (x+5)(x-3)=0 Now, if we write the last equation separately, then, we get (x+5)=0, (x-3)=0 Both separate equations can be solved as roots, so by placing the constants from the left-hand side of the equal sign to the right-hand-side, the signs will change. The resultant values will be x=3, x=-5 If we look at it objectively, the binomial equation had two zeros and two roots. Similarly, we can solve other binomial equations as well. These worksheets and lessons help students locate and understand how to find a root of a polynomial. These are values of x or y that cause the polynomial to equal zero.

### Printable Worksheets And Lessons

• Zero Products Step-by-step Lesson- We show you an effective means for determine the possible values for a product that equals zero.

• Guided Lesson - Working through these types of problems will give you a great deal of time to understand the rearrangement of equations.

• Guided Lesson Explanation - We go over the concept of Zero Product Properties and how they relate to finding missing variable values.

• Practice Worksheet - Work away at this skills by tackling ten nicely developed problems.

• Matching Worksheet - We used f as every variable to make it much more challenging. Different variable would have just made it too easy.  #### Homework Sheets

This is a true fundamental skill that students need to master for higher grade level work.

• Homework 1 - We know that the Zero Product Property states that for all real numbers a and b: If ab = 0, then a = 0 or b = 0
• Homework 2 - According to the Zero Product Property, if (t – 62) (t – 17) = 0, then (t – 62) must be 0 or (t – 17) must be 0.
• Homework 3 - Solve for p and write your answers as whole numbers in the simplest form.

#### Practice Worksheets

Some of the addends in here are huge on purpose.

• Practice 1 - Write your final outcome in the simplest form.
• Practice 2 - Where does d equal zero?
• Practice 3 - Solve for b and write your answers as whole numbers in the simplest form.

#### Math Skill Quizzes

See if you think version 3 is challenging? I got asked to make that version slightly easier. I'm not sure why.

• Quiz 1 - Find the values of g (g – 12) (g – 45) = 0
• Quiz 2 - We use large integers here.
• Quiz 3 - Get everything in one side.