Solving Quadratic Equations using Factoring. has the form: ax 2 + bx + c = 0 If necessary, we will...

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Section 5.6 Solving Quadratic Equations using Factoring

Transcript of Solving Quadratic Equations using Factoring. has the form: ax 2 + bx + c = 0 If necessary, we will...

Page 1: Solving Quadratic Equations using Factoring. has the form: ax 2 + bx + c = 0 If necessary, we will need to rearrange into this form before we solve!

Section 5.6Solving Quadratic Equations using Factoring

Page 2: Solving Quadratic Equations using Factoring. has the form: ax 2 + bx + c = 0 If necessary, we will need to rearrange into this form before we solve!

has the form:

ax2 + bx + c = 0

If necessary, we will need to rearrange into this form before we solve!

A Quadratic Equation…

Page 3: Solving Quadratic Equations using Factoring. has the form: ax 2 + bx + c = 0 If necessary, we will need to rearrange into this form before we solve!

If a·b = 0, what can we say about either a or b?

Either a = 0 or b = 0 SO… if (x + 2)(x – 3) = 0, we can say

x + 2 = 0 or x – 3 = 0

Therefore, x = -2 or x = 3

The zero-factor property:

Page 4: Solving Quadratic Equations using Factoring. has the form: ax 2 + bx + c = 0 If necessary, we will need to rearrange into this form before we solve!

1. Write in standard form:ax2 + bx + c = 0 2. Factor the non-zero side. 3. Set each factor equal to zero. 4. Solve each equation. 5. Check your answers in the original

equation.

To solve a quadratic equation:


Factoring trinomials: a x 2 + bx + c OBJECTIVE: f ind the factors of a trinomial of the form ax 2 + bx + c pp 138-139, text.

Factoring trinomials: a x 2 + bx + c OBJECTIVE: f ind the factors of a trinomial of the form ax 2 + bx + c pp 138-139, text.

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WATER Rearrange

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Adapted from Walch Education Quadratic inequalities can be written in the form ax 2 + bx + c < 0, ax 2 + bx + c ≤ 0, ax 2 + bx + c > 0, or ax 2 + bx.

Adapted from Walch Education Quadratic inequalities can be written in the form ax 2 + bx + c < 0, ax 2 + bx + c ≤ 0, ax 2 + bx + c > 0, or ax 2 + bx.

ODE · 1. Rearrange the equation in the general form 2. Show that (Test the homogeneity) 3. Substitute and into the general form of homoge General form: Method of solution: neou,,

ODE · 1. Rearrange the equation in the general form 2. Show that (Test the homogeneity) 3. Substitute and into the general form of homoge General form: Method of solution: neou,,

Holt Algebra 1 8-3 Factoring x 2 + bx + c 1.Factor quadratic trinomials of the form x 2 + bx + c. Objective 2. Factor quadratic trinomials of the form.

Holt Algebra 1 8-3 Factoring x 2 + bx + c 1.Factor quadratic trinomials of the form x 2 + bx + c. Objective 2. Factor quadratic trinomials of the form.

Presentation MSEIP workshop...To Convert from f (x) = ax2 + bx + c Form to Vertex Form: Method 1: Completing the Square To convert a quadratic from y — + bx + c fonn to vertex form,

Presentation MSEIP workshop...To Convert from f (x) = ax2 + bx + c Form to Vertex Form: Method 1: Completing the Square To convert a quadratic from y — + bx + c fonn to vertex form,

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Section 6.3 Factoring Trinomials of the Form ax 2 + bx + c.

Section 6.3 Factoring Trinomials of the Form ax 2 + bx + c.

Rearrange quotes game ppt

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SUMMER ASSIGNMENT FOR 2004-2005 ALGEBRA 1A ......Quiz #4 – Factoring factor out a GCF factor a trinomial in the form of x2 + Bx + C factor a trinomial in the form of Ax2 + Bx + C

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Sure Cross DXM100-Bx and DXM1000-Bx Wireless Controllers ...

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Year 9 Extension Mathematics Semester 2 Exam Preparation ...€¦ · Sketching parabolas of the form . y = ax. 2 + bx + c • If the equation is in the form . y ax bx c = ++ 2, the

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- a process where one or more substances (elements) rearrange themselves to form a new substance. 20reaction.

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Holt McDougal Algebra 1 7-3 Factoring x 2 + bx + c Factor quadratic trinomials of the form x 2 + bx + c. Objective.

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5.3 Factoring Trinomials · multiplying two binomials. This process is called factoring. You can factor a trinomial of the form x2 + bx + c and the form ax2 + bx + c by studying patterns.

5.3 Factoring Trinomials · multiplying two binomials. This process is called factoring. You can factor a trinomial of the form x2 + bx + c and the form ax2 + bx + c by studying patterns.

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