Videos to help Algebra I students learn how to
rewrite quadratic expressions given in standard form,
ax2 + bx + c, in the equivalent completed-square form, a(x-h)2 + k, and recognize cases for which factored or completed-square form is most efficient to use.
New York State Common Core Math Module 4, Algebra I, Lesson 11, Lesson 12
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Common Core For Algebra I
Lesson 11 Summary
Just as factoring a quadratic expression can be useful for solving a quadratic equation, completing the square also provides a form that facilitates solving a quadratic equation.
Lesson 11 Opening Exercise:
In lesson 11, we will look at completing the square for expressions where the leading coefficient a = 1.
Rewrite the following perfect square quadratic expressions in standard form.
(x + 10)2
(x + 6)2
Rewrite the following standard form quadratic expressions as perfect squares.
x2 - 8x + 16
x2 + 12x + 36
Find an expression equivalent to x2 + 10x + 36 that includes a perfect square binomial.
Complete the Square Steps:
1. Isolate the x's on one side
2. Half the linear coefficient
3. Square this value
4. Add this value to both sides
5. Rewrite new quadratic as a binomial squared
Rewrite the following expressions by completing the square
x2 - 3x + 10
x2 + 8x + 3
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