Mathematics Questions and Answers – Polynomials Basics

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This set of Mathematics Multiple Choice Questions & Answers (MCQs) focuses on “Polynomials Basics”.

1. What is the coefficient of x3 in a polynomial 6x4 + 3x2 + 8x + 5?
a) 6
b) 3
c) 8
d) 0
View Answer

Answer: d
Explanation: Coefficient is the number which is multiplied with respective variable.
In the given polynomial 6x4 + 3x2 + 8x + 5, there is not an expression containing x3. So we can write 6x4+ 3x2+8x+5 as 6x4 + 0x3 + 3x2 + 8x + 5. We can see that 0 is multiplied with expression x3, so coefficient of x3 is 0.
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2. \(\frac{1}{\sqrt[2]{x}}\) is a polynomial.
a) True
b) False
View Answer

Answer: b
Explanation: For an expression to be a polynomial, exponent of variable has to be whole number.
\(\frac{1}{\sqrt[2]{x}}\) can be written as x-1/2. We can see that exponent of x is -1/2 which is not whole number (W = {0, 1, 2, 3…}). Hence, \(\frac{1}{\sqrt[2]{x}}\) is not a polynomial.

3. What is the degree of a polynomial of 4x7+9x5+5x2+11?
a) 7
b) 4
c) 5
d) 2
View Answer

Answer: a
Explanation: Degree of a polynomial is the highest power of variable in a polynomial.
The term with the highest power of x is 4x7 and exponent of x in that term is 7, so the degree of polynomial of 4x7+ 9x5+5x2+11 is 7.
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4. What is the degree of a polynomial 7?
a) 7
b) 1
c) 0
d) 2
View Answer

Answer: c
Explanation: Degree of a non-zero constant polynomial is zero.
We can see that given polynomial 7 contain only one term and that is constant. 7 can also be written as 7x0.
Hence degree of 7 is zero.

5. What is the degree of 0?
a) Not defined
b) 1
c) 2
d) 0
View Answer

Answer: a
Explanation: Degree of the zero polynomial is not defined.
Zero polynomial is denoted by 0, and degree for that is not defined.
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6. A quadratic polynomial can have at most __________ terms.
a) 1
b) 4
c) 2
d) 3
View Answer

Answer: d
Explanation: A polynomial of degree 2 is called quadratic polynomial.
Quadratic polynomials are of the form ax2+bx+c and it can contain at most three terms namely ax2, bx and c. Thus, we can say that a quadratic polynomial can have at most three terms.
Similarly, a polynomial of degree 1 is called linear polynomial and a polynomial of degree 3 is called cubic polynomial.

Sanfoundry Global Education & Learning Series – Mathematics – Class 9.

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Manish Bhojasia - Founder & CTO at Sanfoundry
Manish Bhojasia, a technology veteran with 20+ years @ Cisco & Wipro, is Founder and CTO at Sanfoundry. He is Linux Kernel Developer & SAN Architect and is passionate about competency developments in these areas. He lives in Bangalore and delivers focused training sessions to IT professionals in Linux Kernel, Linux Debugging, Linux Device Drivers, Linux Networking, Linux Storage, Advanced C Programming, SAN Storage Technologies, SCSI Internals & Storage Protocols such as iSCSI & Fiber Channel. Stay connected with him @ LinkedIn | Youtube | Instagram | Facebook | Twitter