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​

Answer 1

Answer:

1) quadratic

2) cubic

3) quadratic

4)linear

5)linear

6) quadratic

7) cubic

Step-by-step explanation:

Answer 2

Answer:

$(i) \: The \: highest \: degree \: of \: {x}^{2} + x \:  is 2, so \: it \\ \: is \: a \: quadratic \: polynomials. \\\\ (ii) \:  The \: highest \: degree \: of \: x - {x}^{3} \: is \:  3, \: so \: it \\ \: is \: a \: cubic \:  polynomials. \\ \\(iii) \: The \: highest \: degree \: of \: y + {y}^{2} + 4 \: is \:  2, \\ \: so \: it \: is \: a \: quadratic \: polynomials. \\\\ (iv) \:  The \: highest \: degree \: of \:  x \:  in \:  (1+x) \:  is \:   \\ 1, \: so \: it \: is \: a \: linear \: polynomials. \\\\ (v) \: The \: highest \: degree \: of \:  t \:  in \:  3t \:  is \:  1, \: so \: it \\ \: is \: a \: linear \: polynomials. \\ \\(vi) \: The \: highest \: degree \: of \: {r}^{2} \: is \:  2, \: so \: it \: is \: \\ a \: quadratic \: polynomials. \\ \\(vii) \: The \: highest \: degree \: of \:  x \:  in \: 7 {x}^{3} \: is \:  3, \: \\ so \: it \: is \: a \: cubic \: polynomials.$

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