Question

Classify the following as linear, quadratic and cubic polynomials.
(i) x2+ x
(ii) x – x3
(iii) y + y2+4
(iv) 1 + x
(v) 3t
(vi) r2
(vii) 7x³

Explanation needed​

Answer 1

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(i) The degree of x² + x is 2.

So, it is a quadratic polynomial.

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(ii) The degree of x – x³ is 3.

So, it is a cubic polynomial.

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(iii) The degree of y + y² + 4 is 2.

So, it is a quadratic polynomial.

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(iv) The degree of 1 + x is 1.

So, it is a linear polynomial.

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(v) The degree of 3t is 1.

So, it is a linear polynomial.

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(vi) The degree of r² is 2.

So, it is a quadratic polynomial.

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(vii) The degree of 7x3 is 3.

So, it is a cubic polynomial.

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Answer 2

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Linear polynomial, quadratic polynomial, and cubic polynomial has its degrees as 1, 2, and 3 respectively.

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(i) x² + x is a quadratic polynomial as its

degree is 2.

$\rule{220}{3}$

(ii) x - x³ is a cubic polynomial as its

degree is 3.

$\rule{220}{3}$

(iii) y + y² + 4 is a quadratic polynomial as

its degree is 2.

$\rule{220}{3}$

(iv) 1 + x is a linear polynomial as its

degree is 1.

$\rule{220}{3}$

(v) 3t is a linear polynomial as its degree

is 1.

$\rule{220}{3}$

(vi) r² is a quadratic polynomial as its

degree is 2.

$\rule{220}{3}$

(vii) 7x³ is a cubic polynomial as its

degree is 3.

$\rule{220}{3}$