4. The polynomial x² + 2x² – 5ax + 7 when divided by (x + 1)) leaves a reminder
R, and the polynomial xº + ax? - 12x+6 are divided by (x - 2) leaves
remainder R. If R-R= 20, find a.
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Step-by-step explanation:
x+1=0,x=-1
x^2+2x^2-5ax+7
-1^2+2×-1^2-5 a×-1+7
1+2-5-a+7
3-5+7-a
-2+7-a
5-a=0
a=5
x-2=0
x=2
2°+a×2-12×2-6. (a°=1)
1+2a- 24-6
1+2a-18
1-18+2a
-17+2a=0
2a=17
a=17/2
R=-10
-10+-10=20
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