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Classify the following as linear, quadratic and cubic polynomi

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Classify the following as linear, quadratic and cubic polynomials:
(i) $x^{2} + x$
(ii) $x - x^{3}$
(Iii) $y + y^{2} + 4$
(iv) $1 + x$
(v) $3 t$
(vi) $r^{2}$
(vii) $7 x^{3}$

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Charlotte Discussed

Classify the following as linear, quadratic and cubic polynomials:
(i)

x^{2} + x

(ii)

x - x^{3}

(Iii)

y + y^{2} + 4

(iv)

1 + x

(v)

3 t

(vi)

r^{2}

(vii)

7 x^{3}

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Text solutionVerified

(i) The highest degree of

x^{2} + x

2

, so it is a quadratic polynomials.

(ii) The highest degree of

x - x^{3}

3

, so it is a cubic polynomials.

(iii)The highest degree of

y + y^{2} + 4

2

, so it is a quadratic polynomials.

(iv) The highest degree of

x

(1 + x)

1

, so it is a linear polynomials.

(v)The highest degree of

t

3 t

1

, so it is a linear polynomials.

(vi)The highest degree of

r^{2}

2

, so it is a quadratic polynomials.

(vii)The highest degree of

x

7 x^{3}

3

, so it is a cubic polynomials.

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Question Text	Classify the following as linear, quadratic and cubic polynomials: (i) $x^{2} + x$ (ii) $x - x^{3}$ (Iii) $y + y^{2} + 4$ (iv) $1 + x$ (v) $3 t$ (vi) $r^{2}$ (vii) $7 x^{3}$
Answer Type	Text solution:1
Upvotes	150

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

Text solutionVerified

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Classify the following as linear, quadratic and cubic polynomials:
(i) $x^{2} + x$
(ii) $x - x^{3}$
(Iii) $y + y^{2} + 4$
(iv) $1 + x$
(v) $3 t$
(vi) $r^{2}$
(vii) $7 x^{3}$