Q4 of 47 Page 71

Classify the following polynomials based on their degree.

i. 3x2 + 2x + 1


ii. 4x3 – 1


iii. y + 3


iv. y2 – 4


v. 4x3


vi. 2x

i. 3x2 + 2x +1


Since, the highest degree of polynomial is 2


It is a quadratic polynomial.


ii. 4x3 – 1


Since, the highest degree of polynomial is 3.


It is a cubic polynomial.


iii. y + 3


Since, the highest degree of polynomial is 1


It is a linear polynomial


iv. y2 – 4


Since, the highest degree of polynomial is 2


It is a quadratic polynomial.


v. 4x3


Since, the highest degree of polynomial is 3.


It is a cubic polynomial.


vi. 2x


Since, the highest degree of polynomial is 1


It is a linear polynomial


More from this chapter

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2

Write the coefficient of x2 and x in each of the following

i. 2 + 3x – 4x2 + x3


ii. √3 x + 1


iii. x3 + √2 x2 + 4x – 1


iv.

3

Write the degree of each of the following polynomials.

i. 4 – 3x2


ii. 5y + √2


iii. 12 – x + 4x3


iv. 5

 5

Give one example of a binomial of degree 27 and monomial of degree 49 and trinomial of degree 36.

 1

Find the zeros of the following polynomials.

i. p(x)= 4x – 1


ii. p(x) = 3x + 5


iii. p(x) = 2x


v. p(x) = x + 9