QUADRATIC EQUATIONS PART TWO

What polynomial are we aiming in the third step of completing the square method?

• Perfect Square Monomial

• Perfect Square Binomial

• Perfect Square Trinomial

• Perfect Square Multinomial

The first step in completing the square method is

• Transposing the constant term to the right side of the equation.

• Dividing each term of the equation by the numerical coefficient of the quadratic term.

• Applying the Square Root Property for both sides of the equation.

• Dividing the coefficient of the linear term by 2, squaring it, then adding the answer to both sides of the equation.

What formula is used to complete the trinomial into a perfect square trinomial?

• $\frac{b}{2a}$

• $\frac{b}{a}$

• $\left(\frac{b}{2a}\right)^{2\ }$

• $\left(\frac{b}{a}\right)^2$

Excluding the checking, how many steps do completing the square method have?

• 3

• 4

• 5

• 6

Where is quadratic formula derived from?

• Derivation

• Completing the Square

• Factoring

• Change of Polynomials

The second step in completing the square method is

• Transposing the constant term to the right side of the equation.

• Dividing each term of the equation by the numerical coefficient of the quadratic term.

• Applying the Square Root Property for both sides of the equation.

• Dividing the coefficient of the linear term by 2, squaring it, then adding the answer to both sides of the equation.

What is the formula of the quadratic formula?

• $x=\frac{-b\pm\sqrt{b-4ac}}{2a}$

• $x=\frac{b\pm\sqrt{b-4ac}}{2a}$

• $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

• $x=\frac{b\pm\sqrt{b^2-4ac}}{2a}$

Refer to the following statements.

STATEMENT I: When solving for quadratic equations using quadratic formula, the equation must be in standard form.

STATEMENT II: Quadratic formula is only applicable for complete quadratic equations.

• Only Statement I is correct.

• Only Statement II is correct.

• Both statements are correct.

• Neither of the statements is correct.

The third step in completing the square method is

• Transposing the constant term to the right side of the equation.

• Dividing each term of the equation by the numerical coefficient of the quadratic term.

• Applying the Square Root Property for both sides of the equation.

• Dividing the coefficient of the linear term by 2, squaring it, then adding the answer to both sides of the equation.

The sixth step in completing the square method is

• Factoring the left side of the equation as a perfect square trinomial and simplify the right side.

• Combining all the terms containing the unknown to the left side of the equation and the constant terms to the right side, if possible.

• Extracting the square root of both sides. Affix ± sign before the square root of the right side.

• Solving the resulting linear equation.