Solve x*x*x*x+4934*x*x*x-49694*x^2+4965864*x*x*x*x*x*x*x

$$x \times x \times x \times x+4934 \times x \times x \times x-49694 \times { x }^{ 2 } +4965864 \times x \times x \times x \times x \times x \times x \times x$$

Evaluate

$$x^{2}\left(4965864x^{5}+x^{2}+4934x-49694\right)$$

Solution Steps

Multiply x and x to get x^{2}.

$$x^{2}xx+4934xxx-49694x^{2}+4965864xxxxxxx$$

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$x^{3}x+4934xxx-49694x^{2}+4965864xxxxxxx$$

To multiply powers of the same base, add their exponents. Add 3 and 1 to get 4.

$$x^{4}+4934xxx-49694x^{2}+4965864xxxxxxx$$

Multiply x and x to get x^{2}.

$$x^{4}+4934x^{2}x-49694x^{2}+4965864xxxxxxx$$

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$x^{4}+4934x^{3}-49694x^{2}+4965864xxxxxxx$$

Multiply x and x to get x^{2}.

$$x^{4}+4934x^{3}-49694x^{2}+4965864x^{2}xxxxx$$

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$x^{4}+4934x^{3}-49694x^{2}+4965864x^{3}xxxx$$

To multiply powers of the same base, add their exponents. Add 3 and 1 to get 4.

$$x^{4}+4934x^{3}-49694x^{2}+4965864x^{4}xxx$$

To multiply powers of the same base, add their exponents. Add 4 and 1 to get 5.

$$x^{4}+4934x^{3}-49694x^{2}+4965864x^{5}xx$$

To multiply powers of the same base, add their exponents. Add 5 and 1 to get 6.

$$x^{4}+4934x^{3}-49694x^{2}+4965864x^{6}x$$

To multiply powers of the same base, add their exponents. Add 6 and 1 to get 7.

$$x^{4}+4934x^{3}-49694x^{2}+4965864x^{7}$$

Factor

$$x^{2}\left(4965864x^{5}+x^{2}+4934x-49694\right)$$

Solution Steps

Factor out x.

$$x\left(xxx+4934xx-49694x+4965864xxxxxx\right)$$

Consider x^{3}+4934x^{2}-49694x+4965864x^{6}. Factor out x.

$$x\left(x^{2}+4934x-49694+4965864x^{5}\right)$$

Rewrite the complete factored expression. Polynomial x^{2}+4934x-49694+4965864x^{5} is not factored since it does not have any rational roots.

$$xx\left(x^{2}+4934x-49694+4965864x^{5}\right)$$