Topics
Polynomials (Manipulation and Zeros)
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India
Class XI

Solve polynomial inequalities

Lesson
Practice

Interactive practice questions

We want to find the x-values that satisfy the inequality$\left(x-3\right)\left(x-2\right)<0$(x−3)(x−2)<0.

a

Find the $x$x-values of the $x$x-intercepts of the curve described by $y=\left(x-3\right)\left(x-2\right)$y=(x−3)(x−2).

Write both answers on the same line separated by commas.

b

Find the $y$y-value of the $y$y-intercept of the curve.

c

Hence plot the curve for $y=\left(x-3\right)\left(x-2\right)$y=(x−3)(x−2).

Loading Graph...
d

Hence solve the inequality $\left(x-3\right)\left(x-2\right)<0$(x−3)(x−2)<0.

Easy
6min

We want to solve $x^2-x-2>0$x2−x−2>0 by plotting the associated parabola $y=x^2-x-2$y=x2−x−2.

Easy
4min

We want to solve $-x^2+2x+3\le0$−x2+2x+3≤0 by first plotting the associated parabola $y=-x^2+2x+3$y=−x2+2x+3.

Easy
4min
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Outcomes

11.SF.RF.2

Definition of relation, pictorial diagrams, domain, co-domain and range of a relation. Function as a special kind of relation from one set to another. Pictorial representation of a function, domain, co-domain and range of a function. Real valued function of the real variable, domain and range of these functions, constant, identity, polynomial, rational, modulus, signum and greatest integer functions with their graphs. Sum, difference, product and quotients of functions.

11.CG.CS.1

Sections of a cone: Circles, ellipse, parabola, hyperbola, a point, a straight line and pair of intersecting lines as a degenerated case of a conic section. Standard equations and simple properties of parabola, ellipse and hyperbola. Standard equation of a circle.

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