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Factoring expressions in standard form

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Last updated about 2 months ago
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#28 Factoring expressions in standard form Due 12/11/20


Essential Question: How do we find the factors of an expression in standard form?


Learning Target: Students will be able to find the factors of expressions in standard form and apply that ability to solve real-world problems.


Show your work and use complete sentences for credit.

Monday 12/7/20


Box method of factoring ax²+bx+c when a=1

Question 1
1.

Review: Simplify the product:

This video covers the box method for factors quadratic expressions. Please watch it to help you use the box method to factor the following quadratics.


Question 2
2.

Guided Practice:

Factor this standard form quadratic expression.

Use the box method to show your work.

Question 3
3.

Guided Practice:


Factor this standard form quadratic expression.

Use the box method to show your work.

Question 4
4.

Factor this standard form quadratic expression.



Use the box method to show your work.

Question 5
5.

Factor this standard form quadratic expression.



Use the box method to show your work.

Question 6
6.

Factor this standard form quadratic expression.


Use the box method to show your work.

Question 7
7.

Factor this standard form quadratic expression.



Use the box method to show your work.

Question 8
8.

Prove that (x+4) and (x+6) are the factors of:

Question 9
9.

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Question 10
10.

Question 11
11.

Question 12
12.

Review: Convert the following equation from vertex form to standard form: y=ax²+bx+c

Question 13
13.

Review: Simplify the product.

Tuesday 12/8/20

X-Box method of factoring ax²+bx+c when a>1

Question 14
14.

Guided Practice

Factor this standard form quadratic expression.


Use the x-box method to show your work.

Question 15
15.

Guided Practice

Factor this standard form quadratic expression.




Use the x-box method to show your work.

Question 16
16.

Factor this standard form quadratic expression.


Use the x-box method to show your work.

Question 17
17.

Factor this standard form quadratic expression.



Use the x-box method to show your work.

Question 18
18.

Factor this standard form quadratic expression.





Use the x-box method to show your work.

Question 19
19.

Factor this standard form quadratic expression.




Use the x-box method to show your work.

Question 20
20.

Look at the rectangle with the area given, determine the binomial factors that describe the dimensions.

Review

Question 21
21.

Simplify the expression below using the properties of exponents. Write your answer using positive exponents.


Question 22
22.

Simplify the expression below using the properties of exponents. Write your answer using positive exponents.



Wednesday 12/9/20

Solving Quadratic Equations by Factoring.


Question 23
23.

Guided Practice

Factor and solve this quadratic equation.



Use the x-box method to show your work.

Question 24
24.

Guided Practice

Factor and solve this quadratic equation.






Use the x-box method to show your work.

Question 25
25.

Factor and solve this quadratic equation.





Use the x-box method to show your work.

Question 26
26.

Factor and solve this quadratic equation.






Use the x-box method to show your work.

Question 27
27.

Factor and solve this quadratic equation.






Use the x-box method to show your work.

Question 28
28.

Factor and solve this quadratic equation.






Use the x-box method to show your work.

Question 29
29.

Factor and solve this quadratic equation.






Use the x-box method to show your work.

Question 30
30.

Factor and solve this quadratic equation.






Use the x-box method to show your work.

Review

Question 31
31.

Question 32
32.

Question 33
33.

Question 34
34.

Question 35
35.

Question 36
36.

Match the quadratic to its factors.

(x + 3) (x - 6)
(x - 3) (x - 6)
(x + 6) (x - 3)
(x + 3) (x + 6)
Vocabulary Review: Use the Distributive Property. Match equivalent expressions.
y(y + 2)
(2y - 1)(y + 2)
y(y² + 3y - 6)
-1(y + 2)
y³ + 3y² - 6y
-y - 2
y² + 2y
2y(y + 2) - 1(y + 2)
Classify the polynomial below based on the number of terms.

monomial: it has one term
binomial: it has two terms
trinomial; it has three terms
Classify the polynomial below based on its degree.

1st degree
3rd degree
2nd degree
4th degree
Classify the polynomial below based on its degree.



2nd degree
3rd degree
1st degree
4th degree
Classify the polynomial below based on the number of terms.



trinomial; it has three terms
monomial: it has one term
binomial: it has two terms
Classify the polynomial below based on its degree.




7th degree; because the the highest coefficient is 7
1st degree; the middle tern has an exponent of one

2nd degree; the highest exponent is 2
3rd degree; because you add up all the exponents
Classify the polynomial below based on the number of terms.

binomial: it has two terms
monomial: it has one term
trinomial; it has three terms