Question

check if the polynomial p(y)= 8y^3+4y^2 -y-3 is a multipleof (2y+3)​

Answer 1

l.=2y(8y^3+4y^2-y-3)+3(8y^3+4y^2-y-3)

2.=16y^4+8y^3-2y^2-6y+24y^3-12y^2-3y-9

3.answer=16y^4+32y^3-14y^2-9y-9

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Answer 2

Step-by-step explanation:

first we have to write 2y+3=0

2y+3=0

2y=-3

y=-3/2

p(-3/2)= 8(-3/2)^3+4(-3/2)^2-(-3/2)-3

=8(-27/8)+4(9/4)+3/2-3

=-27+9-3+3/2

=-21+3/2

=-39/2

=-19.5

remainder is -39/2. so 8y^3+4y^2-y-3 is not a multiple of 2y+3.

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