Polynomials Test

Result

Polynomials Test - 1

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Question 1
1 / -0

If the graph of a polynomial intersects the x – axis at three points, then the number of zeroes =

A
0

B
at least three

C
at most three

D
3

Solution

Explanation:

If the graph of a polynomial intersects the x-axis at three points, then the number of zeroes are 3 because the x- axis is intersect three times by the three coordinates so,
number of zeroes of the polynomial = number of the coordinates of the points (where its graph intersects the x-axis.)
Question 2
1 / -0

The graph of the polynomial f(x) = 2x – 5 intersects the x – axis at

A
(5/2 , 5/2)

B
(5/2 , −5/2)

C
(5/2 , 0)

D
(5/2 , 0)

Solution

Explanation:

graph f(x) = 2x-5 is on x- axis (when the graph is on x-axis then the y point (ordinate) is 0)

put f(x)=0

2x-5=0

2x = 5

x = 5/2 so the coordinates of graph is (5/2,0)
Question 3
1 / -0

The graph of a cubic polynomial x³ – 4x meets the x – axis at ( – 2, 0), (0, 0) and (2, 0), then the zeroes of the polynomial are

A
– 2, 0 and 2

B
– 2, 0 and 0

C
0, 0 and 2

D
none of these

Solution

Explanation:

In each points (-2,0), (0,0) and (2,0) all in x- axis and each points intersect the graph of cubic polynomials.

so, the number zeroes are -2,0 and 2 (which is coordinates of x-axis)
Question 4
1 / -0

A polynomial whose sum and product of zeroes are – 4 and 3 is

A
none of these

B
x² − 4x + 3

C
x² + 4x + 3

D
x² − 4x − 3

Solution

Explanation:

x²- (Sum the Zeroes )x + (Product of Zeroes)

x²- (-4)x + 3

= x² + 4x + 3