SECONDARY MATH II // MODULE 3
SOLVING QUADRATICS & OTHER EQUATIONS – 3.8
Mathematics Vision Project
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3.8
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READY Topic:SimplifyingRadicalsSimplifyeachoftheradicalsbelow.
1. 8 2. 18 3. 32
4. 20 5. 45 6. 80
7.Whatistheconnectionbetweentheradicalsabove?Explain.
SET Topic:Determinethenatureofthex-interceptsforeachquadraticbelow.
Giventhequadraticfunction,itsgraphorotherinformation,belowdeterminethenatureofthex-intercepts(whattypeofnumberitis).Explainorshowhowyouknow.
(Wholenumbers“𝕎”,Integers“ℤ”,Rational“ℚ”,Irrational“ℚ”,orfinally,“notReal”)
8.Determinethenatureofthex-intercepts.
9.Determinethenatureofthex-intercepts
READY, SET, GO! Name PeriodDate
SECONDARY MATH II // MODULE 3
SOLVING QUADRATICS & OTHER EQUATIONS – 3.8
Mathematics Vision Project
Licensed under the Creative Commons Attribution CC BY 4.0
mathematicsvisionproject.org
3.8
Needhelp?Visitwww.rsgsupport.org
10.Determinethenatureofthex-intercepts. 11.Determinethenatureofthex-intercepts.𝑓(𝑥) = 𝑥! + 4𝑥 – 24
𝑔(𝑥) = (2𝑥 – 1)(5𝑥 + 2)
12.Determinethenatureofthex-intercepts. 13.Determinethenatureofthex-intercepts.
𝑓(𝑥) = 2𝑥! + 3𝑥 – 5
14.Determinethenatureofthex-intercepts. 15.Determinethenatureofthex-intercepts.𝑟(𝑡) = 𝑡! − 8𝑡 + 16
ℎ(𝑥) = 3𝑥!– 5𝑥 + 9
Determinethenumberofrootsthateachpolynomialwillhave.
16.𝑥! + 7𝑥!– 𝑥! + 4𝑥 – 21 17.4𝑥! + 2𝑥! – 3𝑥 – 9 18.2𝑥! + 4𝑥! − 5𝑥! + 16𝑥 + 3
GO Topic:Findingx-interceptsforquadraticsusingfactoringandquadraticformula.Ifthegivenquadraticfunctioncanbefactoredthenfactorandprovidethex-intercepts.Ifyoucannotfactorthefunctionthenusethequadraticformulatofindthex-intercepts.
19.𝐴(𝑥) = 𝑥! + 4𝑥 – 21 20.𝐵(𝑥) = 5𝑥! + 16𝑥 + 3 21.𝐶(𝑥) = 𝑥! – 4𝑥 + 1
22.𝐷(𝑥) = 𝑥! – 16𝑥 + 4 23.𝐸(𝑥) = 𝑥! + 3𝑥 – 40 24.𝐹(𝑥) = 2𝑥! – 3𝑥 – 9
25.𝐺(𝑥) = 𝑥! – 3𝑥 26.𝐻(𝑥) = 𝑥! + 6𝑥 + 8 27.𝐾(𝑥) = 3𝑥! – 11
