dind the value of a and b so that the polynomial x⁴ +ax³ -7x² -8x +b exactly division x+2 as well as x+3
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using factor theoram
p (x)=x4+ax3-7x2-8b+b
a (x)=x+2
x+2=0
x= -2
::: transposing value of x
(-2)4 +a (-2)3. -7×(-2)2 -8×(-2)+b
16+a-8-28-16+b
-16》cancels each other《16
=-a-8-28-b
additive inverse of these no.
=a=8
=+8
&
=b=28
☆= -8+8-28+28
cancelling each other
=0
solved
same method for the other
p (x)=x4+ax3-7x2-8b+b
a (x)=x+2
x+2=0
x= -2
::: transposing value of x
(-2)4 +a (-2)3. -7×(-2)2 -8×(-2)+b
16+a-8-28-16+b
-16》cancels each other《16
=-a-8-28-b
additive inverse of these no.
=a=8
=+8
&
=b=28
☆= -8+8-28+28
cancelling each other
=0
solved
same method for the other
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