Polynomials Test

Result

Polynomials Test - 12

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Weekly Quiz Competition

Question 1
1 / -0

The number polynomials having zeroes as – 2 and 5 is

A
1

B
2

C
3

D
more than 3

Solution

The number polynomials having zeroes as –2 and 5 is more than 3. If ‘S’ is the sum and ‘P’ is the product of the zeroes then the corresponding family of quadratic polynomial is given by p (x) = k (x²− Sx + P) where k is any real number. Therefore putting different values of k, we can make more than 3 numbers of polynomials.
Question 2
1 / -0

The number of zeroes that the polynomial f(x) = (x – 2)² + 4 can have is

A
0

B
1

C
2

D
3

Solution

f(x) =(x − 2)²+ 4 = x²−4x + 4 + 4 = x²− 4x + 8

Here the largest exponent of variable is 2,

therefore number of zeroes of the given polynomial is 2.
Question 3
1 / -0

The number of zeroes of a cubic polynomial is

A
3

B
at most 3

C
c

D
at least 3

Solution

The number of zeroes of a cubic polynomial is at most 3 because the highest power of the variable in cubic polynomial is 3, i.e. ax³+ bx² + cx + d
Question 4
1 / -0

The maximum number of zeroes that a polynomial of degree 3 can have is

A
0

B
1

C
2

D
3

Solution

The maximum number of zeroes that a polynomial of degree 3 can have is three because the number of zeroes of a polynomial is equals to the degree of that polynomial.