Review of Radicals and Quadratics

9.1

Learning Target & Do Now

LT: Today I will ensure I know how to manipulate quadratic functions and expressions containing radicals.

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DN: Explain to your table partner how to factor a quadratic equation. Demonstrate using the function x² - 113x - 1920

(x + 15)(x - 128)

Solving Quadratics

• Move all values to one side (set equal to 0)

ax² + bx + c = 0

• Two choices: factor or quadratic formula

Core of factoring: find two numbers that multiply to a*c, adds to b

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Quadratic formula:

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Simplifying Quadratic Equations

Solve for x.

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x² - 10x = -16 x² + 5x = 0

Simplifying Radicals

• Radicals are the inverse operation of raising to a power
• Rewrite the number using its prime factorization
• A number on the outside tells you how many copies of a number you need
• If you have that number, remove all of them and pull out one copy
• If there is no number on the radical, you need two (square root)

Examples:

√225 ∛(81)

Simplifying Radicals

Simplify

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Simplify