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India
Class X

Solve polynomial inequalities

Interactive practice questions

We want to find the x-values that satisfy the inequality$\left(x-3\right)\left(x-2\right)<0$(x3)(x2)<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=(x3)(x2).

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=(x3)(x2).

Loading Graph...
d

Hence solve the inequality $\left(x-3\right)\left(x-2\right)<0$(x3)(x2)<0.

Easy
6min

We want to solve $x^2-x-2>0$x2x2>0 by plotting the associated parabola $y=x^2-x-2$y=x2x2.

Easy
4min

We want to solve $-x^2+2x+3\le0$x2+2x+30 by first plotting the associated parabola $y=-x^2+2x+3$y=x2+2x+3.

Easy
4min
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Outcomes

10.CG.L.1

Review the concepts of coordinate geometry done earlier including graphs of linear equations. Awareness of geometrical representation of quadratic polynomials. Distance between two points and section formula (internal). Area of a triangle.

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