What is the standard form of a polynomial $7 x (3 - x + 6 x^{3})$ $7x(3-x+6x^3)$ ?

Question

1551 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-02-05T11:32:56

Multiply each term in parenthesis by $7 x$ $color(red)(7x)$ and then arrange the resulting terms in descending exponent size:

$(7 x \times 3) - (7 x \times x) + (7 x \times 6 x^{3}) \to$ $(color(red)(7x) xx 3) - (color(red)(7x) xx x) + (color(red)(7x) xx 6x^3) ->$

$21 x - 7 x^{2} + 42 x^{4} \to$ $21x - 7x^2 + 42x^4 ->$

$42 x^{4} - 7 x^{2} + 21 x$ $42x^4 - 7x^2 + 21x$

What is the standard form of a polynomial 7x(3-x+6x^3)7x(3−x+6x3)7x(3-x+6x^3)?