Question

question
subtract $-3x - 2$ from $6x^2 - 4x + 9$.

answer attempt 1 out of 3

Explanation:

Step1: Write the subtraction expression

We need to subtract \(-3x - 2\) from \(6x^2 - 4x + 9\), so the expression is \((6x^2 - 4x + 9)-(-3x - 2)\).

Step2: Distribute the negative sign

When we subtract a polynomial, we distribute the negative sign to each term in the polynomial being subtracted. So we get \(6x^2 - 4x + 9 + 3x + 2\).

Step3: Combine like terms

• For the \(x\) terms: \(-4x+3x=-x\)
• For the constant terms: \(9 + 2 = 11\)
• The \(x^2\) term remains as \(6x^2\) since there are no other \(x^2\) terms to combine with.

Putting it all together, we have \(6x^2 - x + 11\).

Answer:

\(6x^2 - x + 11\)