_1. The degree of a binomial is always 2. ____2. The binomial 4x2 + x has no constant term. ____3. In the trinomial 4x + x - 1, the coefficient of x is 1. ____4. The degree of the polynomial 6x2 - 4x3 + x - 1 is 2. ____5.4means to multiply 3 by itself 4 times. ____6. The degree of any nonzero constant monomial is 0. ____7. Some polynomial contains negative number exponents on the variables. ____8. The value of a constant can be changed. ____9. The degree of a monomial is the leading coefficient of that term. ____10. Numerical coefficient is the number factor in an algebraic term.
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Answer:
4x2 – 3x + 7
⇒ 4x2 – 3x + 7x°
∵ All the exponents of x are whole numbers.
∴ 4x2 – 3x + 7 is a polynomial in one variable.
(ii)
∵ All the exponents of y are whole numbers.
∴ is a polynomial in one variable.
(v) x10 + y3 + t50
∵; Exponent of every variable is a whole number,
∴ x10 + y3 + t50 is a polynomial in x, y and t, i.e. in three variables.
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