Polynomials quiz

Authored by sabhyata singh

Mathematics

10th Grade

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10 questions

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The number of zeroes in the graph of the following polynomial equation is/are

Answer explanation

In the following graph, it is clear that the graph cuts the x-axis at only one point.
so, the number of zeroes = 1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The zeroes of x²-2x-8

(2,-4)

(4,-2)

(-2,-2)

(-4,-4)

Answer explanation

x²-2x-8 = x²-4x+2x-8
= x(x-4) + 2(x-4)
= (x-4)(x+2)
Therefore , x = 4 , -2.

FILL IN THE BLANKS QUESTION

30 sec • 1 pt

If one zero of the quadratic polynomial x²+3x+k is 2 , then the value of k is

(a)

Answer explanation

Since , 2 is one of the zero of the given quadratic polynomial , therefore, it will satisfy the polynomial equation.
(2)²+3(2)+K = 0
4+6+K = 0
K = -10

MULTIPLE SELECT QUESTION

30 sec • 1 pt

Following graph represents

It has only one zero

It cuts the x-axis at only one point

The graph is linear

Number of zeroes are two

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The product of the zeroes of the cubic polynomial ax³ + bx² + cx + d is

-b/a

c/a

-d/a

-c/a

Answer explanation

The product of the zeroes of the cubic polynomial ax³ + bx² + cx + d is -d/a.

OPEN ENDED QUESTION

30 sec • 1 pt

If the sum of zeroes of the quadratic polynomial 3x² – kx + 6 is 3, then the value of k is:

Evaluate responses using AI:

OFF

Answer explanation

Here a = 3, b = -k, c = 6
Sum of the zeroes, (α + β) = -b/a = 3 …..(given)
⇒ −(−k)/3 = 3
⇒ k = 9

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A polynomial's zeros can be represented graphically. The number of polynomial zeros equals the number of points on the graph of the polynomial:

Intersects y-axis

Intersects x-axis

Intersects y-axis or x-axis

None of the above

Answer explanation

The number of zeroes of a polynomial is equal to the number of points where the graph of polynomial intersects the x-axis.

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Polynomials quiz

The number of zeroes in the graph of the following polynomial equation is/are

In the following graph, it is clear that the graph cuts the x-axis at only one point.
so, the number of zeroes = 1.

The zeroes of x²-2x-8

x²-2x-8 = x²-4x+2x-8
= x(x-4) + 2(x-4)
= (x-4)(x+2)
Therefore , x = 4 , -2.

If one zero of the quadratic polynomial x²+3x+k is 2 , then the value of k is

(a)

Since , 2 is one of the zero of the given quadratic polynomial , therefore, it will satisfy the polynomial equation.
(2)²+3(2)+K = 0
4+6+K = 0
K = -10

Following graph represents

The product of the zeroes of the cubic polynomial ax³ + bx² + cx + d is

The product of the zeroes of the cubic polynomial ax³ + bx² + cx + d is -d/a.

If the sum of zeroes of the quadratic polynomial 3x² – kx + 6 is 3, then the value of k is:

Here a = 3, b = -k, c = 6
Sum of the zeroes, (α + β) = -b/a = 3 …..(given)
⇒ −(−k)/3 = 3
⇒ k = 9

A polynomial's zeros can be represented graphically. The number of polynomial zeros equals the number of points on the graph of the polynomial:

The number of zeroes of a polynomial is equal to the number of points where the graph of polynomial intersects the x-axis.

If α and β are the zeroes of a polynomial such that α + β = -6 and αβ = 5, then the polynomial is:

x² + 6x + 5 = 0
Explanation: Quadratic polynomial is x² – Sx + P = 0, where S is the sum and P is the product
⇒ x² – (-6)x + 5 = 0
⇒ x² + 6x + 5 = 0

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

The graph of the polynomial 2x²-8x+5 cuts the y-axis.
Hence, the value of x will be 0.
y(0)=2(0)²-8(0)+5
y=5
The graph cuts the y-axis at (0,5)

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

The graph of the polynomial will have a downward opening since, a<0

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Polynomials quiz

The number of zeroes in the graph of the following polynomial equation is/are

In the following graph, it is clear that the graph cuts the x-axis at only one point.so, the number of zeroes = 1.

The zeroes of x2-2x-8

x2-2x-8 = x2-4x+2x-8= x(x-4) + 2(x-4)= (x-4)(x+2) Therefore , x = 4 , -2.

If one zero of the quadratic polynomial x2+3x+k is 2 , then the value of k is (a)

Since , 2 is one of the zero of the given quadratic polynomial , therefore, it will satisfy the polynomial equation. (2)2+3(2)+K = 04+6+K = 0K = -10

Following graph represents

The product of the zeroes of the cubic polynomial ax3 + bx2 + cx + d is

The product of the zeroes of the cubic polynomial ax3 + bx2 + cx + d is -d/a.

If the sum of zeroes of the quadratic polynomial 3x² – kx + 6 is 3, then the value of k is:

Here a = 3, b = -k, c = 6Sum of the zeroes, (α + β) = -b/a = 3 …..(given)⇒ −(−k)/3 = 3⇒ k = 9

A polynomial's zeros can be represented graphically. The number of polynomial zeros equals the number of points on the graph of the polynomial:

The number of zeroes of a polynomial is equal to the number of points where the graph of polynomial intersects the x-axis.

If α and β are the zeroes of a polynomial such that α + β = -6 and αβ = 5, then the polynomial is:

x² + 6x + 5 = 0Explanation: Quadratic polynomial is x² – Sx + P = 0, where S is the sum and P is the product⇒ x² – (-6)x + 5 = 0⇒ x² + 6x + 5 = 0

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

The graph of the polynomial 2x2-8x+5 cuts the y-axis.Hence, the value of x will be 0.y(0)=2(0)2-8(0)+5y=5The graph cuts the y-axis at (0,5)

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

The graph of the polynomial will have a downward opening since, a<0

Access all questions and much more by creating a free account

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Discover more resources for Mathematics

In the following graph, it is clear that the graph cuts the x-axis at only one point.
so, the number of zeroes = 1.

The zeroes of x²-2x-8

x²-2x-8 = x²-4x+2x-8
= x(x-4) + 2(x-4)
= (x-4)(x+2)
Therefore , x = 4 , -2.

If one zero of the quadratic polynomial x²+3x+k is 2 , then the value of k is

(a)

Since , 2 is one of the zero of the given quadratic polynomial , therefore, it will satisfy the polynomial equation.
(2)²+3(2)+K = 0
4+6+K = 0
K = -10

The product of the zeroes of the cubic polynomial ax³ + bx² + cx + d is

The product of the zeroes of the cubic polynomial ax³ + bx² + cx + d is -d/a.

Here a = 3, b = -k, c = 6
Sum of the zeroes, (α + β) = -b/a = 3 …..(given)
⇒ −(−k)/3 = 3
⇒ k = 9

x² + 6x + 5 = 0
Explanation: Quadratic polynomial is x² – Sx + P = 0, where S is the sum and P is the product
⇒ x² – (-6)x + 5 = 0
⇒ x² + 6x + 5 = 0

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

The graph of the polynomial 2x²-8x+5 cuts the y-axis.
Hence, the value of x will be 0.
y(0)=2(0)²-8(0)+5
y=5
The graph cuts the y-axis at (0,5)

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