Factoring Trinomials: More than one factorization

True / falseComplete the equationUsing quadrilateralsWorded problemsUsing short multiplication formulasHow many solutions exist to a problem?Solving the equationEquation factorizationTest if the coefficient is different from 1Applying the formulaSolving the problem
Question 1

Solve the equation:

\( 5x(x+2)(x+5)=5x^3 \)

Question 2

\( (x-4)^2=(x+2)(x-1) \)

Question 3

Solve the following equation:

\( (x-1)(x+1)(x-2)=-2x^2+x^3 \)

Question 4

\( (x+1)(x-1)(x+1)=x^2+x^3 \)

Question 5

\( (x+3)(x-3)=x^2+x \)

Examples with solutions for Factoring Trinomials: More than one factorization

Exercise #1

Solve the equation:

5x(x+2)(x+5)=5x3 5x(x+2)(x+5)=5x^3

Video Solution

Answer

A+B are correct.

Exercise #2

(x−4)2=(x+2)(x−1) (x-4)^2=(x+2)(x-1)

Video Solution

Answer

x=2 x=2

Exercise #3

Solve the following equation:

(x−1)(x+1)(x−2)=−2x2+x3 (x-1)(x+1)(x-2)=-2x^2+x^3

Video Solution

Answer

x=2 x=2

Exercise #4

(x+1)(x−1)(x+1)=x2+x3 (x+1)(x-1)(x+1)=x^2+x^3

Video Solution

Answer

x=−1 x=-1

Exercise #5

(x+3)(x−3)=x2+x (x+3)(x-3)=x^2+x

Video Solution

Answer

x=−9 x=-9

Question 1

\( x^2+(x-2)^2=2(x+1)^2 \)

Question 2

\( (x+3)^2=(x-3)^2 \)

Exercise #6

x2+(x−2)2=2(x+1)2 x^2+(x-2)^2=2(x+1)^2

Video Solution

Answer

x=14 x=\frac{1}{4}

Exercise #7

(x+3)2=(x−3)2 (x+3)^2=(x-3)^2

Video Solution

Answer

x=0 x=0