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which of the following expressions are polynomials [i] 4x^2+6x-2 [ii] 7 [iii]2x^2+3/x-5 [iv] √t3x^2+5y [v] y^2-9 [vi] 2√x-4 |
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Answer» Step-by-step EXPLANATION: We know that a polynomial is a mathematical expression of one or more ALGEBRAIC TERMS each of which CONSISTS of a constant multiplied by one or more variables raised to a non-negative integral power (whole number). (i) 3x3−2x+1 can be rewritten as: 3x3−2x+1x0 The powers of the variable x in the above equation are 3,1 and 0 which are whole numbers. Therefore, 3x3−2x+1 is a polynomial. (ii) x2+xx−2 can be rewritten as:
x2+x(x)21−2x0=x2+(x)21+1−2x0=x2+(x)23−2x0 The powers of the variable x in the above equation are 2,23 and 0, where 23 is not a whole number. Therefore, x2+xx−2 is not a polynomial. (iii) x4+2x can be rewritten as:
x4+2x1 The powers of the variable x in the above equation are 4 and 1 which are whole numbers. Therefore, x |
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