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| The greatest common factor. |
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| What is the GCF between 45 and 108? |
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| Factor out the GCF : 4x + 16 |
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| Factor the GCF: -5x3 - 15x2 + 10x |
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| There is no GCF because the expression is PRIME. |
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Is the expression prime, if not factor:
2x5y4 + 6x4y2 - 8x3y |
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Is the expression prime, if not factor:
5xy + 7 |
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| Factor completely 2x4y3 − 12x3y2 − 8x2y. |
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| Factor by grouping: 4x3 − 2x2 + 6x − 3 |
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The following steps are shown for solving 24x3 + 4x2 − 60x − 10. What is the mistake?
(24x3 + 4x2) (-60x - 10)
4x2(6x + 1) -10(6x + 1)
(6x + 1)(4x2 - 10) |
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| You should have factored a GCF of 2 before grouping. |
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| Factor completely: 9x2 + 3xy − 3x − xy2 |
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| Factor by grouping: 12a2 + 36a − 3a − 9 |
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| Factor completely 12x4 + 6x3 + 18x2 |
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| What is the greatest common factor of x4 and x5? |
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| Rhett decides to build a square room for his movie and music collection. If the area of the room is 64 − 32x2+ 4x4 square feet, what is the length of one side of the room? |
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| Factor completely 18x2 − 21x −15. |
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Which of the following are perfect squares?
12, 18, 25, 22, x^2, or 16 |
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Is this equation a D.O.P.S*?
x^11 - 64
*difference of perfect squares |
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Is this equation a D.O.P.S?
x^6 + 25 |
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Factor this D.O.P.S:
x^12 - 64 |
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| Factor this equation: x^2 - 100 |
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| What is the end behavior of a function with a negative leading coefficient and a positive degree? |
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| What is the end behavior of a polynomial function with a positive leading coefficient and an odd degree |
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| What is the end behavior of a polynomial with a negative leading coefficient and an odd degree? |
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| What is the end behavior of a polynomial with a positive leading coefficient and an even degree? |
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Find the zeros, y-intercept, and end behavior of this function.
4x^2 + 8x + 12 = f(x) |
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4(x-1)(x+3)
Zeros: (1,0) (-3,0)
Y-intercept: (0,-12)
End Behavior: Up, Up |
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Find the zeros, y-intercept, and end behavior of this function.
-3(x + 7)(x - 3) = f(x) |
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Zeros: (-7,0) (3,0)
Y-intercept: (0,63)
End Behavior: Down, Down |
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Find the zeros, y-intercept, and end behavior of this function.
g(x) = (x − 1)(x − 4)(x + 4). |
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Zeros: (1,0) (4,0) (-4,0)
Y-intercept:(0,16)
End Behavior: Down, Up |
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Find the zeros, y-intercept, and end behavior of this function.
f(x)= -5(x+5)(x^2 -5) |
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Zeros: (-5,0) (5,0)
Y-intercept: (0,125)
End Behavior: Up, Down |
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Solve by division:
[image] |
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Solve by Division:
[image] |
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Solve by Division:
[image] |
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| What are prime factor and give an example? |
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Prime factors are numbers that its only factor is one and itself.
2,3,5,7,11, |
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| Is 4(3x - 16) the factored form of 12x - 46? |
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| No, the original form is 12x - 64. |
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| Identify the GCF for this problem:5x - 7b. |
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| NO GCF, the expression is prime |
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| Identify the GCF for this problem: [image] |
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Factor out this problem:
[image] |
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| Factor completely 4x^2 + 16x. |
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| Factor completely −5x^3 + 10x^2 |
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