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

Question

(4x5+3x3+7x)−(3x4−8x3+4x2)=

Answer 1

To subtract the polynomials \((4x^5 + 3x^3 + 7x) - (3x^4 - 8x^3 + 4x^2)\), we'll first distribute the negative sign to the second polynomial:

\[ 4x^5 + 3x^3 + 7x - 3x^4 + 8x^3 - 4x^2 \]

Now, we can combine like terms:

1. The term with \(x^5\): \(4x^5\)
2. The term with \(x^4\): \(-3x^4\)
3. The terms with \(x^3\): \(3x^3 + 8x^3 = 11x^3\)
4. The term with \(x^2\): \(-4x^2\)
5. The term with \(x\): \(7x\)

Putting it all together, we have:

\[ 4x^5 - 3x^4 + 11x^3 - 4x^2 + 7x \]

Thus, the result in standard form is:

\[ \boxed{4x^5 - 3x^4 + 11x^3 - 4x^2 + 7x} \]