Maajin Koyon Korafi Na {0}

Bayani Gaba-gaba

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.

Nazarin Darasi

Barka da kammala darasi akan Graphs Of Cubic Polynomials. Yanzu da kuka bincika mahimman raayoyi da raayoyi, lokaci yayi da zaku gwada ilimin ku. Wannan sashe yana ba da ayyuka iri-iri Tambayoyin da aka tsara don ƙarfafa fahimtar ku da kuma taimaka muku auna fahimtar ku game da kayan.

Za ka gamu da haɗe-haɗen nau'ikan tambayoyi, ciki har da tambayoyin zaɓi da yawa, tambayoyin gajeren amsa, da tambayoyin rubutu. Kowace tambaya an ƙirƙira ta da kyau don auna fannoni daban-daban na iliminka da ƙwarewar tunani mai zurfi.

Yi wannan ɓangaren na kimantawa a matsayin wata dama don ƙarfafa fahimtarka kan batun kuma don gano duk wani yanki da kake buƙatar ƙarin karatu. Kada ka yanke ƙauna da duk wani ƙalubale da ka fuskanta; maimakon haka, ka kallesu a matsayin damar haɓaka da ingantawa.

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
The y-intercept of y = (x + 2)(x - 1)(x - 3) is: A. 0 B. 6 C. -6 D. 2 Answer: B
A factor (x - 3) gives a root at: A. -3 B. 0 C. 3 D. 1/3 Answer: C
To find the y-intercept of a curve you set: A. y = 0 B. x = 0 C. x = y D. x = 1 Answer: B
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