Find the product of the following polynomials:
\$(4x^3 − 3x^2+ 2x −1)(x^4− 2x^3 + 3x^2 − 4x + 5)\$

A) \$4x^7 - 11x^6 + 20x^5 - 30x^4 + 40x^3 - 26x^2 + 14x - 5\$

B) \$4x^7 - 11x^6 - 20x^5 - 27x^4 + 40x^3 -26x^2 +84x -5\$

C) \$4x^7 -11x^6 +20x^5 -30x^4 - 40x^3 + 26x^2 + 14x -5\$

D) \$4x^7 + 11x^6 - 20x^5 + 27x^4 + 40x^3 + 26x^2 +14x + 5\$

If \$4y^3 +10y^2 - 5y + 4\$ is multiplied by 3.5y - 5, what is the coefficient of \$y^2\$ in the resulting polynomial?

A) 67.5

B) 76.5

C) -67.5

D) -76.5

Consider the polynomials (x + 2) and (3x - 1). What is the product of these two expressions?

A) \$3x^2 + 4x - 1\$

B) \$4x^2 - 5x - 2\$

C) \$3x^2 + 5x - 2\$

D) \$4x^3 - 4x - 1\$

If \$3x^2 - 7x + 4\$ is multiplied by 2x - 5, what is the coefficient of x in the resulting polynomial?

A) 56

B) 43

C) 25

D) 34

Multiplying polynomials expression: (2x + 5y) (6x +10y - 2y).

A) \$12x^2 - 46xy + 40y^2\$

B) \$12x^2 + 46xy - 40y^2\$

C) \$12x^2 - 46xy - 40y^2\$

D) \$12x^2 + 46xy + 40y^2\$