Solve the following polynomial equation by grouping and factoring. 4y^3−9y=0 y=?

aortiH 2020-10-27 Answered
Solve the following polynomial equation by grouping and factoring.
4y39y=0
y=?
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Expert Answer

gotovub
Answered 2020-10-28 Author has 98 answers
Step 1
Given a polynomial equation,
4y39y=0
Step 2
Now to solve the polynomial,
By using the factorization method,
y(4y29)=0
Now, by the formula of the square of difference,
x2y2=(xy)(x+y)
Thus,
y(2y+3)(2y3)=0
Step 3
Now, by zeros factorization principle,
If ab=0 then a=0 or b=0,
y=0 or (2y+3)=0 or (2y-3)=0
Thus,
2y+3=0
y=32
And
2y3=0
y=32
Step 4
Therefore, the solution of the polynomial is
y=0 or y=32ory=32
Thus, the exact answer is
y=0,32,32.
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