Solve the following polynomial equation by factoring. 9x^2+24x+16

defazajx 2021-02-06 Answered
Solve the following polynomial equation by factoring.
9x2+24x+16
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Expert Answer

Alannej
Answered 2021-02-07 Author has 104 answers
Step 1
Given:
9x2+24x+16
Step 2
The given polynomial can be factorized by using factoring perfect square trinomials technique
Here,
9x2=(3x)2
16=(4)2
24x = 2(3x)(4)
A=3x and B = 4
A2+2AB+B2=(A+B)2
Step 3
On substituting the values of A and B on the above expression as follows,
9x2+24x+16=(3x2)+2(3x)(4)+(4)2
=(3x+4)2
Thus the factorization of the given polynomial 9x2+24x+16 is done using factoring perfect square trinomials technique
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Jeffrey Jordon
Answered 2021-11-11 Author has 2047 answers

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