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If x-2 acommon factor of expressions x ²(m+n)x-n and 2x²+(m-1)x+(m+2n). find the value of m and n.
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If x-2 acommon factor of expressions x ²(m+n)x-n and 2x²+(m-1)x+(m+2n). find the value of m and n.
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Apr 1, 2023
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If x-2 acommon factor of expressions x ²(m+n)x-n and 2x²+(m-1)x+(m+2n). find the value of m and n.
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2[x^2 - (m/2)x + (n/2)]
Multiply the two given factors together
(x-2) (x-3) = x^2 - 5x + 6
Then set the coefficients of x equal and the constant terms equal
(m/2) = 5 , m = 10
(n/2) = 6, n = 12
The original expression becomes 2 x^2 - 10x + 12
Ticex
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Apr 4, 2023
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