Factoring with GCF and DOS

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Presentation transcript:

Factoring with GCF and DOS

Learning Intention/Success Criteria LI: We are learning to factor quadratics using greatest common factor (GCF) SC: I can -recognize if a quadratic can be factored -identify the roots and y-intercept of a quadratic -identify the solutions of the equation by factoring -square and square root numbers -find the GCF -check my work by multiplying binomials

Teach Me How To Factor Video

Example 1: Factor the polynomial using GCF 10x2 + 5x First Term: Second Term: 5 • 2 • x • x 5 • 1 • x 5x (2x + 1)

Factor the polynomial using GCF: 7x – 21 Guided Practice 1 Factor the polynomial using GCF: 7x – 21 A] Prime B] 7(x – 3) C] 7(x – 21) D] 3(7x – 7) 1st Term: 2nd Term: 7 • 1 • x 7 • 3 7(x – 3)

Factor the polynomial using GCF: 16x3 + 24x2 – 8x Guided Practice 2 Factor the polynomial using GCF: 16x3 + 24x2 – 8x 1st Term: 2nd Term: 3rd Term: 8 • 2 • x • x • x A] 4(4x3 + 6x2 – 2x) B] 4x(4x2 + 6x – 2) C] 8x(2x2 + 3x – 1) D] 2x(8x2 + 12x – 4) 8 • 3 • x • x 8 • 1 • x 8x(2x2 + 3x – 1)

Factor the polynomial using GCF: 7x3 – 5z2 + 3x2z2 Guided Practice 3 Factor the polynomial using GCF: 7x3 – 5z2 + 3x2z2 1st Term: 2nd Term: 3rd Term: 7 • 1 • x • x • x A] x2z2(7x – 5 + 3) B] 5z2(7x3 – 1 + 3x2) C] 7x2(x – 5z2 + 3z2) D] Prime 5 • 1 • z • z 3 • 1 • x • x • z • z