check whether the polynomial g(t) = t³-3 is a factor of polynomial f(t),= 2t⁴+3t³-2t²-9t-12.
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Step-by-step explanation:
2t⁴+3t³-2t²-9t-12.
Answered by
1
Answer:
) t
2
−3,2t
4
+3t
3
−2t
2
−9t−12
Remainder is 0, hence t
2
−3 is a factor of 2t
4
+3t
3
−2t
2
−9t−12
(ii) x
2
+3x+1,3x
4
+5x
3
−7x
2
+2x+2
Remainder is 0, hence x
2
+3x+1 is a factor of 3x
4
+5x
3
−7x
2
+2x+2
(iii) x
3
−3x+1,x
5
−4x
3
+x
2
+3x+1
Remainder is 2, hence x
3
−3x+1 is not a factor of x
5
−4x
3
+x
2
+3x+1
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