Polynomials Test

Result

Polynomials Test - 14

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Weekly Quiz Competition

Question 1
1 / -0

Which of the following relations is correct if ax³ + bx² + cx + d is a quadratic polynomial?

A
a = 0 and b ≠ 0

B
a ≠ 0 and b ≠ 0

C
a ≠ 0 and b = 0

D
a = 0 and b = 0

Solution

A quadratic polynomial is defined as ax² + bx + c, where a ≠ 0.

The given polynomial is ax³ + bx² + cx + d.

Here, a must be equal to 0 and b should not be equal to 0.

Thus, for the given polynomial to be a quadratic polynomial, a = 0 and b ≠ 0

The correct answer is A.
Question 2
1 / -0

A polynomial of degree 5 can have at most

A
two zeroes

B
three zeroes

C
four zeroes

D
five zeroes

Solution

It is known that a polynomial of degree n can have at most n zeroes.

Thus, a polynomial of degree 5 can have at most five zeroes.

The correct answer is D.