Question

(-6 + 3x + 5x²)(-x + 1)

	-x	1
-6	6x	-6
3x	-3x²	3x
5x²	-5x³	5x²

correct! now write the simplified answer in the box below.
answer attempt 1 out of 4
answer: submit answer

Explanation:

Step1: Identify all terms

From the table, the terms are \(6x\), \(-6\), \(-3x^2\), \(3x\), \(-5x^3\), \(5x^2\).

Step2: Combine like terms

• For \(x^3\): \(-5x^3\)
• For \(x^2\): \(-3x^2 + 5x^2 = 2x^2\)
• For \(x\): \(6x + 3x = 9x\)
• For constants: \(-6\)

Step3: Write the polynomial

Combine all terms: \(-5x^3 + 2x^2 + 9x - 6\)

Answer:

\(-5x^3 + 2x^2 + 9x - 6\)