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Polynomials

35. if x-1 an...

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35. if x-1 and x+2 are 2 factors of polynomial 2x3+mx2 -x-n then the value of.( m2-n2)

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Q. If (x – 1) and (x + 2) are two factors of the polynomial

2 x^{3} + m x^{2} - x - n

, then the value of

(m^{2} - n^{2})

Q. If the polynomial

f (x) = 2 x^{3} + m x^{2} + n x - 14

(x - 1)

(x + 2)

as its factors, find the value of

\frac{m}{n}

Find the values of m and n in polynomial 2x³+MX²+nx-14 such that x-1and x+2 are it's factors

x - 2

x - \frac{1}{2}

both are the factors of the polynomial

n x^{2} - 5 x + m

m = n = 2

x - 2

x - \frac{1}{2}

both are the factors of the polynomial nx² − 5x + m, then show that

m = n = 2

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