Question

13. If x + y + z = 0, show that x + y + z = 3xyz.
14. Without actually calculating the cubes, find the value of each of the following:
(i) (-12)+ (7) + (5)​

Answer 1

Answer:

(i) 4x² - 3x + 7 = 4x² - 3x + 7x0

4x² - 3x + 7 is a polynomial in one variable.

(ii)

is a polynomial in one variable.

(iii)

Now, is not a whole number.

is not a polynomial.

(iv) Now, -1 is not a whole number.

is not a polynomial

(v) x10 + y³ + t50. Here, exponent of every variable is a whole number, but x10 + y³ + t50 is a polynomial in x, yand t, i.e. in three variables. So, it is not a polynomial in one variable.