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Factoring with a NOT equal to 1

Authored by Patricia Connors

Mathematics

9th - 12th Grade

Used 14+ times

Factoring with a NOT equal to 1
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13 questions

Show all answers

1.

DROPDOWN QUESTION

1 min • 1 pt

Given 5x2+19x+12=05x^2+19x+12=0

Since ac is ​ ​ (a)   ​ ​ and b is ​ ​ (b)   ​ both factors must be ​ (c)  

positive 60
positive 19
positive
negative 19
negative 60
negative

Answer explanation

Remember, if ac is positive, the factors must match b

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What factors of ac =b?

5x2+19x+125x^2+19x+12

1 and 60

2 and 30

3 and 20

4 and 15

5 and 12

Answer explanation

a=5, c=12 so you are looking for the factors of +60

b=+19 so which of the factors listed ADD t 19?

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the binomial factors of

5x2+19x+125x^2+19x+12

(x+5)(x+12)\left(x+5\right)\left(x+12\right)

(x+4)(x+15)\left(x+4\right)\left(x+15\right)

(5x+12)(5x+5)\left(5x+12\right)\left(5x+5\right)

(5x+4)(5x+15)\left(5x+4\right)\left(5x+15\right)

(5x+4)(x+3)\left(5x+4\right)\left(x+3\right)

Answer explanation

If you are using the box, remember to divide out the GCF

If you are using double ( )( ),

remember you have an extra factor of 5

If you are using grouping, one of the factors must be identical.

4.

MULTIPLE SELECT QUESTION

45 sec • 1 pt

What are the solutions (roots, x intercepts, zeros) of

5x2+19x+125x^2+19x+12 =0

Pick both answers

-4/5

4/5

-3

5/4

3

Answer explanation

Remember, when you set them = 0 and get rid of the + or -, you must add the opposite and divide by the coefficient.

5.

DROPDOWN QUESTION

1 min • 1 pt

Given 3x2−8x+4=03x^2-8x+4=0

Since ac is ​ ​ (a)   ​ ​ and b is ​ (b)   ​ both factors must be ​ (c)  

positive 12
negative 8
negative
negative 12
positive 8
positive

Answer explanation

Remember, if ac is positive, the factors must match b

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What factors of ac will "sum" up to b?

 3x2−8x+4=03x^2-8x+4=0

-1 and -12

-2 and -6

-3 and -4

Answer explanation

a times c is 12,so of all the factors of 12, -2 and -6 are the only ones that add up to -12

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the binomial factors of

3x2−8x+4=03x^2-8x+4=0

(x−1)(x−4)\left(x-1\right)\left(x-4\right)

(x−3)(x−4)\left(x-3\right)\left(x-4\right)

(3x−2)(3x−6)\left(3x-2\right)\left(3x-6\right)

(3x−2)(x−2)\left(3x-2\right)\left(x-2\right)

Answer explanation

If you are using the box, remember to divide out the GCF

If you are using double ( )( ),

remember you have an extra factor of 5

If you are using grouping, one of the factors must be identical.

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