prove that x+2 is a factor of p(x)=2x³-4x²+5x+42
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Answered by
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Answer:
p(x)=2x³-4x²+5x+42
x+2 = 0
X = -2
p(x) = 2 (-2)^3 - 4 (-2)^2 + 5(-2) + 42
= 2 (-8) - 4 (4) - 10 + 42
= -16 - 16 - 10 + 42
= -42 + 42
= 0
hence x+2 is a factor of p(x)=2x³-4x²+5x+42
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Answered by
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Step-by-step explanation:
Let us the value of p(x) = x+2
Thus, x+2 = 0
x = -2
After putting the value of x in the equation, we will get
2x³-4x²+5x+42
= 2(-2)³-4(-2)²+5(-2)+42
= -16-16-10+42 = 0
Therefore, x+2 is a factor of 2x³-4x²+5x+42...
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