Which of the following has the highest degree?

1. $x^5 + 2x^5$

2. $2^8$

3. $-\dfrac{3a^3b^2c}{4}$

4. $\dfrac{7a^6b^5}{-5a^3b^4}$

The value of the expression 2m² + 3n²m + $\dfrac{7}{2}n^2 + 8$, when m = -2 and n = 2 is

1. 1
2. -4
3. 6
4. -14

Fill in the blanks :

(i) The highest power of the …………… in a polynomial is called its degree.

(ii) The degree of the polynomial 7⁵ is …………… .

(iii) Several parts of an algebraic expression separated by + or - signs are called the …………… of the expression.

(iv) Any number is a polynomial of degree …………… .

(v) Terms having the same …………… are called like terms.

(vi) The algebraic expression for the statement ‘the number of times b is contained in x' is …………… .

(vii) 1 + x + y + xy is a polynomial having …………… terms and degree ………….. .

(viii) The length of a side of a square having perimeter 8x² - 2y + 16xy is …………… .

(ix) In a polynomial, the exponents of the variables are always …………… .

(x) If the length of a rectangle having perimeter (6 m² - 2 mn + 2 m²n - 4n²) units, is (3m² + m²n - 2 mn) units, then its breadth is equal to …………… units.

Write true (T) or false (F) :

(i) A literal can take on various numerical values.

(ii) 2a³b - a²b - 3a²b² + 7ba² - ba³ is a trinomial.

(iii) 3mn is a factor of -9mn².

(iv) If we add a monomial and a trinomial, the answer can be a monomial.

(v) The coefficient of a²b in - 9a²b²c is -9bc.

(vi) The degree of the monomial 3³ is 3.