$CATEGORY: Maths - TicTacLearn/2. Polynomials/2. Polynomials--Introduction

//Multiple Choice

The graph of a quadratic polynomial is always {
~ A straight line
~ A circle
= A parabola
~ A hyperbola
}

If the quadratic polynomial  has two distinct real roots, the graph of the polynomial\:  {
~ Touches the x-axis at one point
~ Does not intersect the x-axis
= Intersects the x-axis at two distinct points
~ Lies entirely above or below the x-axis
}

The point where the parabola intersects the y-axis is called the {
~ Vertex
~ Focus
= Y-intercept
~ Axis of symmetry
}

The graph of y\=\(ax^2+bx+c\) opens upwards when {
= a>0
~ a<0
~ b>0
~ b<0
}

The roots of a quadratic equation \(ax^2+bx+c\=0\) represents {
~ The points where the graph Intersects the y- axis
= The points where the graph Intersects the x-axis
~ The maximum or minimum value of the graph
~ The axis of symmetry of the graph
}

//True or False

The graph of a quadratic polynomial is always a straight line {F}

A quadratic polynomial can have at most two real roots  {T}

If the discriminant \(b^2-4ac\) is zero, the quadratic polynomial has two distinct real roots. {F}

The vertex of the parabola  lies on the axis of symmetry.  {T}

The quadratic polynomial  will always intersect the x-axis.  {F}

The value of the discriminant determines the nature of the roots of a quadratic polynomial. {T}

A quadratic polynomial can have one real root if the discriminant is negative. {F}

The y-intercept of the graph  is given by the constant term . {T}

The graph of y\=\(ax^2+bx+c\) is symmetric about the line x\= -b/2a {T}

If the coefficient of \(x^2\) ie a is negative, then the parabola opens downwards {T}

//Numericals



//Fill in the blanks



//Match the following

Match the following items from Column A with their correct corresponding options from Column B\:
{
=The sum of the roots of quadratic polynomial \(ax^2+bx+c\) is given by the formula -> -b/a
=The parabola intersects the x-axis at its  -> roots
=The graph of y\=\(ax^2+bx+c\) passes through the origin if -> c\=0
=If a>0 and \(b^2-4ac\=0\), then the parabola Touches the x- axis at -> one point
}



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