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Master Solving Polynomials with Unknown Coefficients

Grade 10 Math: Master Essential Skills & Concepts

WA10.1

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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

WA10.10

Find the difference of squares: (a - b)(a + b) = (a^2 - b^2)

Find the difference of squares

Evaluating polynomials

Using algebra tiles to factor polynomials

Applications of polynomials

Common factors of polynomials

WA10.11

Solving polynomial equations

Word problems of polynomials

Factoring polynomials by grouping

Solving polynomials with unknown coefficients

Solving polynomials with unknown constant terms

WA10.2

Upper and lower bound

Upper and Lower Bound

WA10.3

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

WA10.4

Understanding the number systems

Prime factorization

Number properties: Prime or Composite

Number properties: Prime?

Prime factors – Word Problem

Greatest common factors (GCF)

Greatest Common Factor 2 Numbers

Greatest Common Factor 2 Numbers – Word Problem

Least common multiple (LCM)

Lowest Common Multiple - 2 Numbers – Word Problem

Lowest Common Multiple 2 Numbers

Rational vs. Irrational numbers

WA10.5

Evaluating and simplifying radicals

Converting repeating decimals to fractions

Square and square roots

Square Root of a Perfect Square

Cubic and cube roots

Cube root of a perfect cube

Converting radicals to mixed radicals

WA10.6

Product rule of exponents

Converting radicals to entire radicals

Adding and subtracting radicals

Adding radicals

Subtracting radicals

Multiplying and dividing radicals

Dividing radicals

Multiplying radicals

Rationalize the denominator

WA10.7

Quotient rule of exponents

Power of a product rule

Power of a quotient rule

Power of a power rule

Simplify the power

Solving for exponents

WA10.8

Negative exponent rule

Combining the exponent rules

Scientific notation

Convert between radicals and rational exponents

What is a polynomial?

Classifying Polynomials

WA10.9

Polynomial components

Multiplying monomial by monomial

Multiply a Monomial by a Monomial

Multiplying monomial by binomial

Multiplying binomial by binomial

Multiplying polynomial by polynomial

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Workplace and Apprenticeship Mathematics 10

Number Sense, Logical Thinking, Mathematics as a Human Endeavour

math

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Ex. 1:

Intro

- Hi, welcome to this question right here. So, we're trying to figure out the possible "k" that can go in here. We're doing the trinomial factoring. If you remember that in order to figure this out, there's a bracket, bracket to start off and you put an "x" here. Now, the number that goes here and here is basically this. You need to figure out the factors of 8 first so, two numbers, two numbers that'll give you the 8. What do we have? We've got 8 and 1, right? So, we've got 8 x 1. We also have 2 x the 4, okay? 
So, if you put 8 and 1 here, you have to give a negative 8 so one of them has to be a negative. It could be negative 8 or 8, negative 1, right? Those are two possible choices that would give you a negative 8 if you multiply them together. Now, if you add them together, you get yourself a possible of, this would be a negative 7 and this would be a 7. And that's what that "k" would represent. We're not here to figure this out, we're here trying to figure out the possible "k"s. So, for the first "k" that we have, we have plus minus 7. Now, on the other side we have 4 and 2, to try right? Or 2 and 4. Now, 4 times 2 does give me 8, right? But, one of them has to be negative. It could be a negative 2 and 4, or 2 and negative 4, okay? Now, if you add them together... Okay? It's either we've got a 4 minus 2 which is going to be a 2, or 2 minus 4 which is going to be a negative 2, right? 
Those are your possible "k"s that would go right in there, OK? So, more "k"s we have, we've got plus minus 2 and those are your four possibilities, okay? 
Thanks for watching.

In this lesson, we will be doing trinomial factoring to find all possible answers for the unknowns in the term in the middle of the polynomials. By doing so, we will need to reverse the process of FOIL so that we can convert the trinomials into two binomials.

Solving polynomials with the unknown "b" from x^2 + bx + c

How to find the unknown coefficients in polynomials?