Question

simplify this polynomial by combining like terms.

\\8x^2 + 5 + 3x - 2x^2 - 1\\

\\?x^2 + x + \\

Explanation:

Group the like terms

Identify and group terms with the same variable and exponent.

$$ (8x^2 - 2x^2) + 3x + (5 - 1) $$

Combine the quadratic terms

Add the coefficients of the \(x^2\) terms.

$$ (8 - 2)x^2 = 6x^2 $$

Combine the constant terms

Subtract the constant values.

$$ 5 - 1 = 4 $$

Write the simplified polynomial

Combine all parts into standard form.

$$ 6x^2 + 3x + 4 $$

Answer:

Simplify this polynomial by combining like terms.

\(8x^2 + 5 + 3x - 2x^2 - 1\)

<blank>6</blank>\(x^2 +\) <blank>3</blank>\(x +\) <blank>4</blank>