Hi someone help with these two questions. Thanks

1). Option (d)

2). Options (a), (b) and (d)

Step-by-step explanation:

Question 1

a).

   Any expression with negative exponent is not a polynomial.

b).

   Any expression having variable with square root is not a polynomial.

c).

   Any expression having variables in the form of a fraction is not a polynomial.

d).

   It's a polynomial.

e).

   Expressions having variables with square root are not the polynomial.

Therefore, Option (d) is a polynomial.

Question 2.

P(x) = (2x + 1)(5x³ - 8x + 4)

      = 2x(5x³ - 8x + 4) + 1(5x³ - 8x + 4)

      = 10x⁴ - 16x² + 8x + 5x³ - 8x + 4

      = 10x⁴ - 5x³ - 16x²+ 4

a). Degree of polynomial = 4

   True

b). P(0) = 10(0) - 5(0) - 16(0) + 4

           = 4

    True

c). P(-1) = 10(-1)⁴ - 5(-1)³ - 16(-1)² + 4

           = 10 + 5 - 16 + 4

           = 3

    False

d). Coefficient of x₂ is -16.      

    True

e). Coefficient of x is -16

    False

Therefore, Options (a), (b) and (d) are correct.

i think it is c, not positive though

step-by-step explanation:

answer: i think it is (1,-2)