what is the product?\n$(x^{4})(3x^{3}-2)(4x^{2}+5x)$?\n$12x^{9}+15x^{8}-8x^{6}-10x^{5}$\n$12x^{24}+15x^{12}-8…

what is the product?\n$(x^{4})(3x^{3}-2)(4x^{2}+5x)$?\n$12x^{9}+15x^{8}-8x^{6}-10x^{5}$\n$12x^{24}+15x^{12}-8x^{8}-10x^{4}$\n$12x^{9}-10x^{5}$\n$12x^{24}-10x^{4}$

what is the product?\n$(x^{4})(3x^{3}-2)(4x^{2}+5x)$?\n$12x^{9}+15x^{8}-8x^{6}-10x^{5}$\n$12x^{24}+15x^{12}-8x^{8}-10x^{4}$\n$12x^{9}-10x^{5}$\n$12x^{24}-10x^{4}$

Answer

Explanation:

Step1: Multiply the first two polynomials

[ \begin{align*} (x^{4})(3x^{3}-2)&=x^{4}\times3x^{3}-x^{4}\times2\ &=3x^{4 + 3}-2x^{4}\ &=3x^{7}-2x^{4} \end{align*} ]

Step2: Multiply the result by the third polynomial

[ \begin{align*} (3x^{7}-2x^{4})(4x^{2}+5x)&=3x^{7}\times4x^{2}+3x^{7}\times5x-2x^{4}\times4x^{2}-2x^{4}\times5x\ &=12x^{7 + 2}+15x^{7+1}-8x^{4 + 2}-10x^{4+1}\ &=12x^{9}+15x^{8}-8x^{6}-10x^{5} \end{align*} ]

Answer:

A. (12x^{9}+15x^{8}-8x^{6}-10x^{5})