Working with polynomials

• PH 8-1
• Degree of polynomial
• Subtracting polynomials
• Assignment: P. 373-374 (1-49 odd)
• PH 8-2
• Multiplying and dividing polynomials
• Factoring out a common factor
• Assignment: P. 377-378 (1-31 odd, 35-39 odd)

FOIL

• PH Activity Lab P.380
• Algebra blocks
• Exercises 1-6
• PH 8-3
• Multiplying two binomials
• Using the distributive property
• FOIL
• Assignment: P. 383-384 (1-37 odd, 51)

• PH 8-5
• Factoring positive and negative trinomials of the form • Assignment: P. 397 (1-29 odd)
• PH 8-6
• Factoring trinomials of the form • Assignment: P. 401-402 (1-31 odd)
• PH 8-7
• Factoring special special cases
• Perfect squares
• Difference between squares
• Assignment: P. 407 (1-37 odd)
• PH 8-8
• Factor by grouping
• Assignment: P. 413 (1-37 odd)

Square Roots

• PH 9-3
• Square roots: Principal square root and negative square roots
• Rational and irrational square roots
• Estimating square roots
• Assignment: P. 442-443 (1-47 odd)

• PH 9-4
• Finding x-intercepts – Roots or Zeros
• Assignment: P. 447-448 (1-21 odd, 35, 37)
• PH 9-5
• Factoring to solve quadratic equations
• Using the zero-product property
• Assignment: P. 454 (1-33 odd)

Challenge

You are building a rectangular patio with two rectangular openings for gardens. You have 124 one-foot-square paving stones. Use the diagram below, what value of x would allow you to use all of the stones? Completing the Square

• PH 9-6
• Completing the square
• • P. 458-459 Ex 2-4
• Assignment: P. 460 (1-35 odd)

Small Steel Frame Your company is going to make frames as part of a new product they are launching.

The frame will be cut out of a piece of steel, and to keep the weight down, the final area should be 28 cm2

The inside of the frame has to be 11 cm by 6 cm

What should the width x of the metal be?

Deriving the quadratic equation from standard form Now try with • PH 9-7
• Derivation from standard form of a quadratic
• P. 464-465 Ex 1-3
• Assignment: P. 466-467 (1-33, 37)

Using the quadratic equation an the Discriminant

• PH 9-8
• Using the discriminant
• • Quadratic equations can have 1, 2, or zero real solutions. The discriminant allows us to determine the number of possible solutions before we solve.
• If the discriminant > 0, there are two real solutions
• If the discriminant = 0, there is one real solution.
• If the discriminant < 0, there are no real solutions.
• Example 1-3
• Assignment: P. 472-473 (1-31 odd)