if (x+1) and (2x-1) is a factor of a equation 4x^4+ 2^3 + (q+1) x-q-p find the value of p and q
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Answered by
1
Step-by-step explanation:
Let p(x)=8x
4
+4x
3
−16x
2
+10x+m and g(x)=2x−1
Now, g(x)=2x−1
=>2x−1=0
=>x=
2
1
If g(x) is a factor of p(x), then p(
2
1
) must be 0
Thus, p(
2
1
)=0
=>8(
2
1
)
4
+4(
2
1
)
3
−16(
2
1
)
2
+10(
2
1
)+m=0
=>
16
8
+
8
4
−
4
16
+5+m=0
=>
2
1
+
2
1
−4+5+m=0
=>1+1+m=0
=>m=−2
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