Solve 18x^12+21x^9+24^x^7/

$$\frac{ 18 { x }^{ 12 } +21 { x }^{ 9 } + { 24 }^{ } { x }^{ 7 } }{ }$$

Evaluate

$$18x^{12}+21x^{9}+24x^{7}$$

Solution Steps

Calculate 24 to the power of 1 and get 24.

$$\frac{18x^{12}+21x^{9}+24x^{7}}{1}$$

Anything divided by one gives itself.

$$18x^{12}+21x^{9}+24x^{7}$$

Factor

$$3\left(6x^{5}+7x^{2}+8\right)x^{7}$$

Solution Steps

Factor out 3.

$$3\left(6x^{12}+7x^{9}+8x^{7}\right)$$

Consider 6x^{12}+7x^{9}+8x^{7}. Factor out x^{7}.

$$x^{7}\left(6x^{5}+7x^{2}+8\right)$$

Rewrite the complete factored expression. Polynomial 6x^{5}+7x^{2}+8 is not factored since it does not have any rational roots.

$$3x^{7}\left(6x^{5}+7x^{2}+8\right)$$