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Polynomials

Each subtopic includes About section, revision page link, 10 preview questions, and practice CTAs.

Geometrical Meaning of the Zeroes of a Polynomial

Subtopic

Geometrical Meaning of the Zeroes of a Polynomial under Polynomials for Grade 10 CBSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    The graph of the polynomial p(x)=(x−1)(x−2)(x−3)(x−4)p(x) = (x-1)(x-2)(x-3)(x-4) intersects the xx-axis at how many points?

    A.

    1

    B.

    2

    C.

    3

    D.

    4

  2. 2.

    If p(x)=x2+1p(x) = x^2 + 1, the graph is a parabola that:

    A.

    Intersects the xx-axis twice

    B.

    Touches the xx-axis once

    C.

    Is entirely above the xx-axis

    D.

    Is entirely below the xx-axis

  3. 3.

    The total number of zeroes of a polynomial is equal to the number of points where its graph:

    A.

    Cuts the yy-axis

    B.

    Is parallel to the xx-axis

    C.

    Cuts or touches the xx-axis

    D.

    Passes through the origin

Download the worksheet for Polynomials - Geometrical Meaning of the Zeroes of a Polynomial to practice offline. It includes additional chapter-level practice questions.

Relationship between Zeroes and Coefficients of a Polynomial

Subtopic

Relationship between Zeroes and Coefficients of a Polynomial under Polynomials for Grade 10 CBSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    The product of the zeroes of the polynomial 2x2−82x^2 - 8 is:

    A.

    4

    B.

    -4

    C.

    8

    D.

    -8

  2. 2.

    If α\alpha and β\beta are the zeroes of x2−4x+1x^2 - 4x + 1, then the value of α+β−αβ\alpha + \beta - \alpha\beta is:

    A.

    3

    B.

    5

    C.

    -3

    D.

    -5

  3. 3.

    If the product of the zeroes of the polynomial x2−3x+kx^2 - 3x + k is −10-10, then kk is:

    A.

    10

    B.

    -10

    C.

    3

    D.

    -3

Download the worksheet for Polynomials - Relationship between Zeroes and Coefficients of a Polynomial to practice offline. It includes additional chapter-level practice questions.