High School

Multiply the polynomial \((12x^4 - 4x^3 + 5)\) by \((-4x^2)\).

A. \(-16x^6 + 8x^5 + 9x^{12}\)

B. \(48x^6 - 16x^6 + 20x^2\)

C. \(48x^6 + 16x^5 + 20x^2\)

D. \(-48x^6 + 16x^5 - 20x^2\)

Answer :

Answer:

[tex] - 48 {x}^{6} + 16 {x}^{5} - 20 {x}^{2} [/tex]

Option D is the correct option.

Solution,

[tex] - 4 {x}^{2} (12 {x}^{4} - 4 {x}^{3} + 5) \\ = - 4 {x}^{2} \times 12 {x}^{4} + 4 {x}^{2} \times 4 {x}^{3} - 4 {x}^{2} \times 5 \\ = - 48 {x}^{6} + 16 {x}^{5} - 20 {x}^{2} [/tex]

hope this helps...

Good luck on your assignment...

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