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Polynomial Functions – What You Need to Know

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Providing students familiarity and facility with general polynomial functions is one of the most important goals of every advanced algebra course.  There’s a lot to learn, and it’s common to devote several weeks to covering key aspects of these functions and their graphs. Fortunately, only a small number of key concepts and processes must be mastered to ace the SAT/ACT. Following is a list of facts you need to know about polynomial functions. - [Note: “iff” means “if and only if.”] Definition Polynomial functions: functions of the form p(x) = ax^n+bx^(n–1)+cx^(n–2)+…+z. Polynomial Standard form y = ax^n+bx^(n–1)+cx^(n–2)+…+z. Factored form y = a(x–s1)(x–s2) Let y = 0. s1, s1 … are solutions (a.k.a. “roots”) iff s1, s2, … are x-intercepts (a.k.a “zeros”). Zeros are values of x for which y equals zero (i.e x-intercepts). Factors of p(x) iff zeros of p(x) iff x-intercepts iff roots iff solutions of p(x) = 0. That is, “factors,” “zeros,” "x-intercepts," “roots,” and “solutions” a...

Polynomial Functions – What You Need to Know

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Providing students familiarity and facility with general polynomial functions is one of the most important goals of every advanced algebra course.  There’s a lot to learn, and it’s common to devote several weeks to covering key aspects of these functions and their graphs. Fortunately, only a small number of key concepts and processes must be mastered to ace the SAT/ACT. Following is a list of facts you need to know about polynomial functions. - [Note: “iff” means “if and only if.”] Definition Polynomial functions: functions of the form p(x) = ax^n+bx^(n–1)+cx^(n–2)+…+z. Polynomial Standard form y = ax^n+bx^(n–1)+cx^(n–2)+…+z. Factored form y = a(x–s1)(x–s2) Let y = 0. s1, s1 … are solutions (a.k.a. “roots”) iff s1, s2, … are x-intercepts (a.k.a “zeros”). Zeros are values of x for which y equals zero (i.e x-intercepts). Factors of p(x) iff zeros of p(x) iff x-intercepts iff roots iff solutions of p(x) = 0. That is, “factors,” “zeros,” "x-intercepts," “roots,” and “solutions” a...

Mock dSAT Practice Tests

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It’s always the same. Whenever the College Board trots out a new version of the SAT, years elapse before we have enough official practice material to adequately prepare students for the test. True to form, to date, the College Board has only made released four official computer-based adaptive SAT tests to the public. To do a good job preparing for the SAT, students need 3-4 times that number. As always, we’re left to evaluate the various mock SAT practice test offerings currently available. Luckily, most companies offer a free sample test. In fact, you could pay nothing (or almost nothing) for multiple mock dSAT practice tests simply by signing up for free trials from the list of providers below. - Test Innovators ScoreSmart R.{test} Princeton Review Kaplan Compass The SAT Crash Course Summit Educational Group TPAPT Piqosity - curvebreakers EdisonOS EdisonOS for Tutors Test Ninjas Test Qube TutorWand Multintel ETT HighScores ----- Contact Chris borlandeducational.com Copyright © 2006-p...

Mock dSAT Practice Tests

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It’s always the same. Whenever the College Board trots out a new version of the SAT, years elapse before we have enough official practice material to adequately prepare students for the test. True to form, to date, the College Board has only made released four official computer-based adaptive SAT tests to the public. To do a good job preparing for the SAT, students need 3-4 times that number. As always, we’re left to evaluate the various mock SAT practice test offerings currently available. Luckily, most companies offer a free sample test. In fact, you could pay nothing (or almost nothing) for multiple mock dSAT practice tests simply by signing up for free trials from the list of providers below. - Test Innovators ScoreSmart R.{test} Princeton Review Kaplan Compass The SAT Crash Course Summit Educational Group TPAPT Piqosity - curvebreakers EdisonOS EdisonOS for Tutors Test Ninjas Test Qube TutorWand Multintel ETT HighScores ----- Contact Chris borlandeducational.com Copyright © 2006-p...

Mock dSAT Practice Tests

Image
It’s always the same. Whenever the College Board trots out a new version of the SAT, years elapse before we have enough official practice material to adequately prepare students for the test. True to form, to date, the College Board has only made released four official computer-based adaptive SAT tests to the public. To do a good job preparing for the SAT, students need 3-4 times that number. As always, we’re left to evaluate the various mock SAT practice test offerings currently available. Luckily, most companies offer a free sample test. In fact, you could pay nothing (or almost nothing) for multiple mock dSAT practice tests simply by signing up for free trials from the list of providers below. - Test Innovators ScoreSmart R.{test} Princeton Review Kaplan Compass The SAT Crash Course Summit Educational Group TPAPT Piqosity - curvebreakers EdisonOS EdisonOS for Tutors Test Ninjas Test Qube TutorWand Multintel ETT HighScores ----- Contact Chris borlandeducational.com Copyright © 2006-p...