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

Question

(7x3−15x2+6x−2)−(4x2+9x−4) =

Skip to navigation

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: \[ \boxed{7x^3 - 19x^2 - 3x + 2} \]