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Divide as directed: 20 (y+ 4) (y2+ 5y+ 3) ÷ 5(y+ 4)
- a)(y2+ 5y+ 3)
- b)4 (y2+ 5y+ 3)
- c)4
- d)none of these
Correct answer is option 'B'. Can you explain this answer?
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Divide as directed: 20(y+4)(y2+5y+3)÷5(y+4)a)(y2+5y+3)b)4(y2+5y...
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Divide as directed: 20(y+4)(y2+5y+3)÷5(y+4)a)(y2+5y+3)b)4(y2+5y...
Division of Polynomials:
Step 1: Divide the leading term of the numerator by the leading term of the denominator.
In this case, the leading term of the numerator is 20 and the leading term of the denominator is 5.
Dividing 20 by 5 gives us 4, which is the coefficient of the quotient.
Step 2: Divide each term of the numerator by the denominator.
We have (y^2 + 5y + 3) in the numerator and (y + 4) in the denominator.
Dividing each term of the numerator by the denominator gives us 4(y^2 + 5y + 3).
Therefore, the division result is 4(y^2 + 5y + 3), which is option (b).
Step 1: Divide the leading term of the numerator by the leading term of the denominator.
In this case, the leading term of the numerator is 20 and the leading term of the denominator is 5.
Dividing 20 by 5 gives us 4, which is the coefficient of the quotient.
Step 2: Divide each term of the numerator by the denominator.
We have (y^2 + 5y + 3) in the numerator and (y + 4) in the denominator.
Dividing each term of the numerator by the denominator gives us 4(y^2 + 5y + 3).
Therefore, the division result is 4(y^2 + 5y + 3), which is option (b).
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