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Evaluating Polynomials: Steps and Example

Solve problems requiring manipulation and application of formulas related to perimeter, area, Pythagorean theorem, trigonometric ratios, and income

Evaluating polynomials

Using algebra tiles to factor polynomials

Solving polynomial equations

Word problems of polynomials

Slope intercept form:  y = mx + b

Slope intercept form: y = mx + b

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General form:  Ax  + By  + C = 0

General form: Ax + By + C = 0

Point-slope form: y - y_1 = m(x - x_1)

Unknown number related questions in linear equations

Distance and time related questions in linear equations

Rectangular shape related questions in linear equations

Applications of linear equations

Demonstrate understanding of Pythagorean theorem by identifying situations with right triangles, verifying and applying formula, and solving problems

Use sine ratio to calculate angles and sides (Sin = o / h)

Use cosine ratio to calculate angles and sides (Cos = a / h)

Combination of SohCahToa questions

Solving expressions using 45-45-90 special right triangles

Solving expressions using 30-60-90 special right triangles

Use tangent ratio to calculate angles and sides (Tan = o / a)

Demonstrate understanding of similarity of convex polygons, including regular and irregular polygons

Introduction to bearings

Bearings and direction word problems

Bearings and Direction Word Problems

Isosceles and equilateral triangles

Demonstrate understanding of primary trigonometric ratios by applying similarity to right triangles, generalizing patterns, and solving problems

Word problems relating ladder in trigonometry

Word problems relating guy wire in trigonometry

Solve problems involving parallel, perpendicular, and transversal lines, and pairs of angles formed between them

Parallel line equation

Perpendicular line equation

Combination of both parallel and perpendicular line equations

Pairs of lines and angles

Parallel lines and transversals

Parallel line proofs

Perpendicular line proofs

Demonstrate understanding of International System of Units (SI) by describing relationships of units and applying strategies to convert SI to imperial units

Upper and lower bound

Upper and Lower Bound

Conversions between metric and imperial systems

Metric to Imperial Conversions

Imperial to Metric Conversions

Conversions Between Metric and Imperial Systems Speed KM to MI

Conversions Between Metric and Imperial Systems Speed  MI to M

Metric-Imperial Length Conversion Inch To Cm

Metric-Imperial Length Conversion MM/CM/M/KM To FT

Metric-Imperial Length Conversion MM/CM/M/KM To MI

Metric systems

Add and Subtract Mixed Units

Metric Length Conversion

Add or Subtract Different Metric Units Convert to CM

Add or Subtract Different Metric Units Convert to M

Add or Subtract Different Metric Units Convert to MM

Imperial systems

Imperial Length Conversion

Conversions involving squares and cubic

Imperial to Metric Conversions — Squares and Cubes

Imperial Conversion — Squares and Cubes

Metric to Imperial Conversion — Squares and Cubes

Metric Area Conversion FT to CM

Metric Area Conversion Foot to Inch

Metric Area Conversion M/CM to Inch

Solve problems involving SI and imperial area measurements of regular, composite, and irregular 2-D shapes and 3-D objects

Surface area and volume of prisms

Surface area and volume of pyramids

Surface area and volume of cylinders

Surface area and volume of cones

Surface area and volume of spheres

Solve problems involving unit pricing and currency exchange using proportional reasoning

Intersection and union of 2 sets

Intersection and Union of 2 Sets

Money related questions in linear equations

Applications of linear relations

Assignments

Challenge Zone

Foundation Review

Mathematics at Work 10

Measurement

Number

math

Ex. 1:

Ex. 2:

<p>- Hi. We're on this question right here. So we&apos;ve got sometime we get a little bit of evaluating the polynomials once in awhile. We just kinda have to know what is it trying to say. So if you have 4h square minus three and we're trying to figure out when X equals to five, so what is the result of that, right? So the four is here. The x equal to five means that you put five into a position of the X. So you put it right there, you square that, and you subtract a three, and the rest of the work is just doing bet mess, right? Five square is 25 and 25 x a 4 gives you 100, and 100 minus three give you 97 and this is your final answer. Thanks so much.</p>

Evaluating 4x squared minus 3 when x equals 5

Substituting x = -3 into a polynomial with negative exponents

Evaluating a two-variable polynomial using substitution and PEDMAS

Evaluating a multivariable polynomial with a=2 and b=5

Evaluating a²b² − 3ab with a=2 and b=5

Evaluating a polynomial means substituting a specific value for the variable and simplifying with order of operations: exponents, then multiplication, then addition and subtraction. Learn the steps with a worked example, and how to handle negative substitutions correctly.

Evaluating Polynomials | StudyPug

Evaluating algebraic expressions

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Overview

Evaluating Polynomials

What You'll Learn

Evaluating a polynomial means substituting a value for the variable, then simplifying.

Follow order of operations: exponents, then multiplication, then addition/subtraction.

Example: 2x squared minus 3x plus 1 at x=4 equals 21.

Wrap a negative substitution in parentheses before simplifying.

A skipped order-of-operations step gives a wrong answer even with correct substitution.

What You'll Practice

Substituting single values into quadratic and cubic polynomials

Evaluating expressions with negative numbers and exponents

Working with multi-variable polynomials using given values

Applying PEMDAS to simplify polynomial expressions with fractions

Why This Matters

Before You Start — Make Sure You Can:

This Unit Includes

5 Video lessons

Practice exercises

Learning resources

Skills

Polynomials

Substitution

Order of Operations

PEMDAS

Exponents

Simplification

Multi-variable Expressions