Question

which of the following polynomials in the standard form. Also write degree

please help me the question​

Answer 1

Step-by-step explanation:

$(i) \: 5 {x}^{4} + {x}^{2} + 6x + 3 \\ degree = 4 \\ (ii) \: 5{a}^{6} + {a}^{2} + 4 \\ degree = 6 \\ (iii) \: ( {x}^{3} - 1)( {x}^{3} - 4) \\ = { ({x}^{3}) }^{2} - (1 + 4) {x}^{3} + 1 \times 4 \\ = {x}^{6} - 5 {x}^{3} + 4 \\ degree = 6 \\ (iv) \: ( {y}^{3} - 2)( {y}^{3} + 11) \\ = {y}^{6} + 9{y}^{3} - 22 \\ degree = 6 \\ (v) \: ( {a}^{3} - \frac{3}{8} )( {a}^{3} + \frac{16}{17} ) \\ = {a}^{6} + \frac{16}{17} {a}^{3} - \frac{3}{8} {a}^{3} - \frac{6}{17} \\ = {a}^{6} + \frac{77}{136} {a}^{3} - \frac{6}{17} \\ degree = 6 \\ (vi) \: (a + \frac{3}{4} )(a + \frac{4}{3} ) \\ = {a}^{2} + \frac{4}{3} a + \frac{3}{4} a + 1 \\ = {a}^{2} + \frac{25}{12} + 1 \\ degree = 2$

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