Find factor of th given ploynomials x²+3×2
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Answer:
(a) x
2
−3x+2=x
2
−2x−x+2=x(x−2)−1(x−2)=(x−1)(x−2)
(b) Since x
2
−3x+k can be written as the product of two first degree polynomials,
The maximum value of k is given by,
b
2
−4ac=0
⇒(−3)
2
−4(1)(k)=0
⇒9−4k=0
⇒k=9/4
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