Mathematics - Additional - 0606 CIE

Graphs Of Cubic Polynomials

Muhtasari

A cubic given as a product of three linear factors is easy to sketch: its roots are read straight from the factors, and its shape follows a predictable pattern. From the sketch you can solve equations and inequalities at a glance.

In this lesson you will sketch the graphs of cubic polynomials and their moduli when given as a product of three linear factors, labelling the intersections with the axes.

Malengo

  1. Sketch the graphs of cubic polynomials and their moduli when given as a product of three linear factors, clearly labelling the intersections with the coordinate axes.

Maelezo ya Somo

Sketching a cubic from its factors is the fastest route to its roots, shape and behaviour, and it underpins solving cubic equations and inequalities.

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Tathmini ya Somo

Hongera kwa kukamilisha somo la Graphs Of Cubic Polynomials. Sasa kwa kuwa umechunguza dhana na mawazo muhimu, ni wakati wa kuweka ujuzi wako kwa mtihani. Sehemu hii inatoa mazoezi mbalimbali maswali yaliyoundwa ili kuimarisha uelewaji wako na kukusaidia kupima ufahamu wako wa nyenzo.

Utakutana na mchanganyiko wa aina mbalimbali za maswali, ikiwemo maswali ya kuchagua jibu sahihi, maswali ya majibu mafupi, na maswali ya insha. Kila swali limebuniwa kwa umakini ili kupima vipengele tofauti vya maarifa yako na ujuzi wa kufikiri kwa makini.

Tumia sehemu hii ya tathmini kama fursa ya kuimarisha uelewa wako wa mada na kubaini maeneo yoyote ambapo unaweza kuhitaji kusoma zaidi. Usikatishwe tamaa na changamoto zozote utakazokutana nazo; badala yake, zitazame kama fursa za kukua na kuboresha.

  1. The roots of y = (x + 2)(x - 1)(x - 3) are: A. 2, 1, 3 B. -2, 1, 3 C. -2, -1, -3 D. 2, -1, 3 Answer: B
  2. The y-intercept of y = (x + 2)(x - 1)(x - 3) is: A. 0 B. 6 C. -6 D. 2 Answer: B
  3. A factor (x - 3) gives a root at: A. -3 B. 0 C. 3 D. 1/3 Answer: C
  4. To find the y-intercept of a curve you set: A. y = 0 B. x = 0 C. x = y D. x = 1 Answer: B
  5. For a positive leading coefficient, a cubic graph: A. falls to the right B. rises to the right C. is symmetric D. is a parabola Answer: B

Inapatikana kwenye programu ya Green Bridge

Pakua programu ya Green Bridge CBT kwenye simu yako au kompyuta yako ili kupata maelezo kamili ya masomo, maswali ya mazoezi, na mengi zaidi.

Maelezo kamili ya masomo yenye michoro
Msaidizi wa kujifunza wa AI
Soma bila mtandao, wakati wowote, mahali popote
Inapatikana kwa Android, Windows, macOS, na Linux

Inapatikana kwenye programu ya Green Bridge

Pakua programu ya Green Bridge CBT kwenye simu yako au kompyuta yako ili kupata maelezo kamili ya masomo, maswali ya mazoezi, na mengi zaidi.

Maelezo kamili ya masomo yenye michoro
Msaidizi wa kujifunza wa AI
Soma bila mtandao, wakati wowote, mahali popote
Inapatikana kwa Android, Windows, macOS, na Linux

Fanya Mazoezi ya Maswali ya Majaribio

Ungependa kufanya mazoezi ya maswali ya majaribio kuhusu Graphs Of Cubic Polynomials? Pakua programu ya Green Bridge CBT ili kupata maswali ya majaribio na tathmini kamili za mazoezi kuhusu mada hii.

Pakua Programu Kwenye Google Playstore

Kila kitu unachohitaji ili kufaulu katika JAMB, WAEC & NECO.

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Zaidi ya Madaftari ya Masomo 1200
Msaada Nje ya Mtandao - Jifunze Wakati Wowote, Popote Pale
Ratiba ya Daraja la Kijani
Muhtasari wa Fasihi na Maswali Yanayoweza Kutokea
Fuata Utendaji na Maendeleo Yako
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