Online Mock Test For Class 10

If one of the zeroes of cubic polynomial is x³+ax²+bx+c is -1, then product of other two zeroes is:

Zeroes of a polynomial can be expressed graphically. Number of zeroes of polynomial is equal to number of points where the graph of polynomial is:

Given that two of the zeroes of the cubic polynomial ax³ + bx² + cx + d are 0, the third zero is

The zeroes of the quadratic polynomial x² + 99x + 127 are

 If the discriminant of a quadratic polynomial, D > 0, then the polynomial has

 If on division of a polynomial p(x) by a polynomial g(x), the quotient is zero, then the relation between the degrees of p(x) and g(x) is

Basketball and soccer are played with a spherical ball. Even though an athlete dribbles the ball in both sports, a basketball player uses his hands and a soccer player uses his feet. Usually, soccer is played outdoors on a large field and basketball is played indoor on a court made out of wood. The projectile (path traced) of soccer ball and basketball are in the form of parabola representing quadratic polynomial.

The shape of the path traced shown is

Basketball and soccer are played with a spherical ball. Even though an athlete dribbles the ball in both sports, a basketball player uses his hands and a soccer player uses his feet. Usually, soccer is played outdoors on a large field and basketball is played indoor on a court made out of wood. The projectile (path traced) of soccer ball and basketball are in the form of parabola representing quadratic polynomial.

The graph of parabola opens upwards, if _______

Observe the following graph and answer

In the above graph, how many zeroes are there for the polynomial?

Observe the following graph and answer

The three zeroes in the above shown graph are

Pankaj’s father gave him some money to buy avocado from the market at the rate of p(x) = x² – 24x + 128. Let α , β are the zeroes of p(x). Find the value of α and β, where  α < β.

If α and β are zeroes of x² + x − 2, then  =

What will be the expression of the polynomial given in diagram?

the polynomial p(x) = x³ + 18x² + 95x + 150.Find the value of α , β , γ .

x² + 4x + 7 Find the vertex (H,K) 

On dividing x³ – 3x ² + x + 2   by a polynomial g(x),
the quotient and remainder were x – 2 and – 2 x +  4 respectively, then g(x)  is equal to

x²

Lowest value of x² + 4x +  2  is

If  a³ – 3 a² b + 3ab²  –  b ³ is divided by ( a  -b) , then the remainder is

If  a³ – 3 a² b + 3ab²  –  b ³ is divided by ( a  -b) , then the remainder is

If one of the zeroes of a quadratic polynomial of the form x² +ax+ b  is the negative of the other, then which of the following is correct?

If the square of difference of the zeroes of the quadratic polynomial x² + px + 45  is equal to 144, then the value of p is

Assertion : x² + 7x + 12 has no real zeroes.
Reason : A quadratic polynomial can have at the most two zeroes.

Assertion : If the product of the zeroes of the quadratic polynomial x² + 3x + 5k is -10 then value of k is -2.
Reason : Sum of zeroes of a quadratic polynomial ax² + bx + c is –b/a

In fig. given below, the number of zeroes of the polynomial f(x) is

If α, β are the zeroes of the polynomial x² – 16, then αβ(α + β) is

If a polynomial of degree 4 is divided by quadratic polynomial, the degree of the remainder is

If the graph of a polynomial intersects the x-axis at exactly two points, then it

 If ‘a’ and ‘b’ are unequal and x² + ax + b and x² + bx + a have a common factor, then a + b is equal to

If α, β be the zeroes of the polynomial x² – 8x + k such that α² + β² = 40 , then k =?