find g(x),ig p(x)=x²+5x+13 wheb q(x(=(x+2) and r(x)=7
Answers
Answered by
3
Answer:
Given, p(x)=x
2
−5x−6
⇒p(3)=3
2
−5×3−6
⇒p(3)=9−15−6
⇒p(3)=−12
Answered by
4
Answer:
that,
let Polynomial p(x)=3x
3
+4x
2
+5x−13
quotient g(x)=3x+10
remainder r(x)=16x−43
g(x)=?
Now,
we know that
Euclid division lemma theorem,
p(x)=g(x)×q(x)+r(x)
3x
3
+4x
2
+5x−13=g(x)×(3x+10)+(16x−43)
3x
3
+4x
2
+5x−13−16x+43=g(x)×(3x+10)
3x
3
+4x
2
−11x+30=g(x)×(3x+10)
g(x)=
3x+10
3x
3
+4x
2
−11x+30
now, dividing,
3x+10)3x
3
+4x
2
−11x+30(x
2
−2x+3
−3x
3
+10x
2
_____________
−6x
2
−11x
−6x
2
−20x
_____________
9x+30
9x+30
____________
0
Hence, g(x)=x
2
−2x+3
This is the answer
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