Question

question 4 of 10
this equation will be in standard form if you subtract $2x^2$ from both sides and subtract $8x$ from both sides.
$7x^2 + 6x + 8 = 2x^2 - 8x$

a. true
b. false

Explanation:

Step1: Subtract \(2x^2\) from both sides

Subtract \(2x^2\) from each side of the equation \(7x^2 + 6x + 8 = 2x^2 - 8x\).
\(7x^2 - 2x^2+ 6x + 8 = 2x^2 - 2x^2- 8x\)
Simplify to get \(5x^2 + 6x + 8 = -8x\).

Step2: Subtract \(8x\) from both sides

Subtract \(8x\) from each side of the new equation \(5x^2 + 6x + 8 = -8x\).
\(5x^2 + 6x - 8x + 8 = -8x - 8x\)
Simplify to get \(5x^2 - 2x + 8 = 0\), which is in standard form \(ax^2 + bx + c = 0\) (where \(a = 5\), \(b = -2\), \(c = 8\)).

Answer:

A. True