Subtract. Express your answer as a polynomial in standard form. (1 point)

Question

(7x3−15x2+6x−2)−(4x2+9x−4) =

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Answer 1

To subtract the polynomials $(7x^3-15x^2+6x-2)-(4x^2+9x-4)$, we can rewrite this expression as follows:

1. Distribute the negative sign across the second polynomial: $$7x^3-15x^2+6x-2-4x^2-9x+4$$

2. Combine like terms:

   • The $x^3$ term: $7x^3$
   • The $x^2$ terms: $-15x^2-4x^2=-19x^2$
   • The $x$ terms: $6x-9x=-3x$
   • The constant terms: $-2+4=2$

Now we can write the resulting polynomial in standard form: $$7x^3-19x^2-3x+2$$

So, the final answer is: $$\boxed{{\displaystyle 7x^3-19x^2-3x+2}}$$