Factorizing monic quadratics

Factorizing monic quadratics

9th Grade

13 Qs

quiz-placeholder

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Factorizing monic quadratics

Factorizing monic quadratics

Assessment

Quiz

Mathematics

9th Grade

Practice Problem

Hard

CCSS
HSA.APR.C.4

Standards-aligned

Created by

Kate Marshall

Used 88+ times

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13 questions

Show all answers

1.

FILL IN THE BLANK QUESTION

2 mins • 1 pt

Factorise:


 x2+5x+6x^2+5x+6  

Answer explanation

We want to find two numbers which multiply to give us 6 and add to give us 5. Those two numbers are: 3 and 2 because: 3×2=63\times2=6  and  3+2=53+2=5  

2.

FILL IN THE BLANK QUESTION

2 mins • 1 pt

Factorise:


 p2+12p+20p^2+12p+20  

Answer explanation

We are looking for two numbers that multiply together to give 20 and add together to give 12. 
 10×2=20 10\times2=20\   and  10 +2=1210\text{ +2=12}  

3.

FILL IN THE BLANK QUESTION

2 mins • 1 pt

Factorise:

 b28b+15b^2-8b+15  

Answer explanation

We are looking for factors of 15 which add up to -8. These numbers are: -3 and -5.
 3×5=15-3\times-5=15  and  3+5=8-3+-5=-8  

4.

FILL IN THE BLANK QUESTION

1 min • 1 pt

Factorise:

 t215t+50t^2-15t+50  

Answer explanation

We are looking for factors of 50 that add up to -15.
These numbers are -5 and -10.
 5×10=50-5\times-10=50  and  5+10=15-5+-10=-15  

5.

FILL IN THE BLANK QUESTION

1 min • 1 pt

Factorise:

 n2n30n^2-n-30  

Answer explanation

We are looking for factors of -30 that add up to 1. 
They are: 6 and -5
 6×5=306\times-5=-30  and  6+5=16+-5=1  

6.

FILL IN THE BLANK QUESTION

1 min • 1 pt

Factorise:

 v27v60v^2-7v-60  

Answer explanation

We are looking for numbers that multiply to give -60 and add to give -7.
 12×5=60-12\times5=-60  and  12+5=7-12+5=-7  

7.

FILL IN THE BLANK QUESTION

1 min • 1 pt

Factorise:

 x2+18x+81x^2+18x+81  

Answer explanation

We are searching for factors of 81 that add up to 18. These numbers are 9 and 9


 9×9=819\times9=81  and  9+9=189+9=18  

Tags

CCSS.HSA.APR.C.4

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