Explore topic-wise MCQs in Mathematics.

This section includes 14 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics knowledge and support exam preparation. Choose a topic below to get started.

1.

If the graph of the quadratic polynomial is completely above or below the x-axis, then the nature of roots of the polynomial is _____

A. Real and Distinct
B. Distinct
C. Real
D. Complex
Answer» E.
Discussion
2.

If the zeros of a polynomial are 3 and -5, then they cut the x-axis at ____ and _____ points.

A. (8, 0) and (-4, 0)
B. (3, -3) and (-5, 5)
C. (-3, 0) and (5, 0)
D. (3, 0) and (-5, 0)
Answer» E.
Discussion
3.

The biquadratic polynomial from the following is ______

A. (x<sup>2</sup>+3)(x<sup>2</sup>-3)
B. x<sup>2</sup>-7
C. x<sup>7</sup>+x<sup>6</sup>+x<sup>5</sup>
D. 5x-3
Answer» B. x<sup>2</sup>-7
Discussion
4.

Which of the following is a polynomial?

A. x<sup>2</sup>+2x+5
B. x+2x+4
C. x<sup> ( frac {2}{3} )</sup>+10x
D. 5x+ ( frac {5}{x} )
Answer» B. x+2x+4
Discussion
5.

A polynomial is said to be linear, quadratic, cubic or biquadratic according to the degree of the polynomial.

A. False
B. True
Answer» C.
Discussion
6.

If a &lt; 0, then the graph of ax2+bx+c, has a downward opening.

A. True
B. False
Answer» B. False
Discussion
7.

A real number is called zeros of the polynomial p(x) if _________

A. p( )=4
B. p( )=1
C. p( ) 0
D. p( )=0
Answer» E.
Discussion
8.

The graph of a quadratic polynomial cuts the x-axis at only one point. Hence, the zeros of the quadratic polynomial are equal and real.

A. True
B. False
Answer» B. False
Discussion
9.

What will be the nature of the zeros of a quadratic polynomial if it cuts the x-axis at two different points?

A. Real
B. Distinct
C. Real, Distinct
D. Complex
Answer» D. Complex
Discussion
10.

If the graph of a polynomial cuts the x-axis at 3 points, then the polynomial is ______

A. Linear
B. Quadratic
C. Cubic
D. Biquadratic
Answer» D. Biquadratic
Discussion
11.

The graph of the quadratic polynomial -x2+x+90 will open upwards.

A. False
B. True
Answer» B. True
Discussion
12.

How many points will the graph of x2+2x+1 will cut the x-axis?

A. 3
B. 1
C. 2
D. 0
Answer» E.
Discussion
13.

The graph of the polynomial 2x2-8x+5 cuts the y-axis at __________

A. (6, 0)
B. (0, 7)
C. (0, 5)
D. (8, 9)
Answer» D. (8, 9)
Discussion
14.

The graph of the polynomial 4x2-8x+3 cuts the x-axis at ________ and ________ points.

A. ( ( frac {3}{4} ), 0), ( ( frac {1}{2} ), 0)
B. ( ( frac {3}{2} ), 0), ( ( frac {1}{2} ), 0)
C. ( ( frac {3}{2} ), 0), ( ( frac {1}{6} ), 0)
D. ( ( frac {7}{2} ), 0), ( ( frac {3}{2} ), 0)
Answer» C. ( ( frac {3}{2} ), 0), ( ( frac {1}{6} ), 0)
Discussion