Factoring Quadratics GCF and Trinomials

Which number puzzle below shows how to set up the values correctly to factor a quadratic trinomial?

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What is the GCF? 5x²+20x

• 5

• x

• 5x

• 20x

Factor (GCF):

x² - 5x

• 1(x - 5)

• x(x - 5x)

• x(x - 5)

• x²(1 - 5)

Factor (GCF):

8r³ + 16r²

• 4r²(2r + 4)

• 8r²(r + 2)

• 8(r³ + r²)

• 4(r³ + 2r²)

Whenever you are factoring ANY polynomial,

what do you ALWAYS do first?

• Look for a GCF and take it out

• ignore any GCF because they're not helpful

• Use Factor By Grouping

• Cry

Factor completely.

Factor by grouping: 4p³ + 8p² + 3p + 6

• (2p²+3)(p+2)

• (2p²+6)(p+4)

• (4p²+3)(p+2)

• (4p²+8p)(3p+6)

Factor by grouping:
x³+7x²-2x-14

• (x²-2)(x-7)

• (x²+2)(x-7)

• (x²+2)(x+7)

• (x²-2)(x+7)