Question

20 points! I would really like some help! :) (Question attached below)

Answer 1

See below.

Explanation:

(a)

To multiply two polynomials, multiply every term of the first polynomial by every term of the second polynomial. Then combine like terms.

`((1)/(2)x - (1)/(4))(5x^2 - 2x + 6) =`

`= (1)/(2)x * 5x^2 - (1)/(2)x * 2x + (1)/(2)x * 6 - (1)/(4) * 5x^2 + (1)/(4) * 2x - (1)/(4) * 6`

`= (5)/(2)x^3 - x^2 + 3x - (5)/(4)x^2 + (1)/(2)x - (3)/(2)`

`= (5)/(2)x^3 - (9)/(4)x^2 + (7)/(2)x - (3)/(2)`

(b)

No. Since the binomials are different, the product of two different binomials and the same trinomial will give different results.