(i)
=(2x+3)
∵ Remainder=1
Therefore, (x+1) is not a factor of 2x2+5x+4
(ii)
=(3y2+11y+27)+ 56/y2
∵ Remainder = 56
∴ (y−2) is not a factor of 3y^{3}+5y^{2}+5y+2.
(iii)
=(x2+3
)
∵ Remainder = 30
Therefore, (4x^{2}−5) is not a factor of 4x^{4}+7x^{2}+15
(iv)
=1−3z
∵ Remainder = 0
∴ (4−z) is a factor of 3z^{2}−13z+4.
(v)
=(5a+3)+
∵ Remainder = 4
∴ ( 2a−3) is not a factor of 10a^{2}−9a−5.
(vi)
=(2y−1)
∵ Remainder = 2
∴ (4y+1) is not a factor of 8y^{2}−2y+1.
Question 3: Divide:
x^{2} − 5x + 6 by x − 3
Answer 3:
= x−2
Question 4:Divide:
ax^{2} − ay^{2} by ax + ay
Answer 4:
= x−y
Question 5: Divide:
x^{4} − y^{4} by x^{2} − y^{2}
Answer 5:
= x2+y2
Question 6: Divide:
acx^{2} + (bc + ad)x + bd by (ax + b)
Answer 6:
= cx+d
Question 7: Divide:
(a^{2} + 2ab + b^{2}) − (a^{2} + 2ac + c^{2}) by 2a + b + c
Answer 7:
=b−c
Question 8: Divide:
Answer 8:
=1/2 x+3
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