if the polynomial x⁴-2x³-8x²+ Mx-5 is exactly divisible by x+3, then M is equal to;
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5
Answer:
Let , p(x)=x
4
−2x
3
+3x
2
−mx+5
If (x−3) exactly divides p(x), then for x=3, p(x)=0
i.e. p(3)=0
3
4
−2×3
3
+3×3
2
−3m+5=0
81−54+27−3m+5=0
−3m+59=0
m=
3
59
Explanation:
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