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Algebra
Pregunta

1. (a) One of the zeros of the polynomial \( P ( x...

1. (a) One of the zeros of the polynomial \( P ( x ) = 6 x ^ { 3 } + 13 x ^ { 2 } - 4 \) is a ncgative integer. Find this zero and hence, factorise \( P ( x ) \) completely. 

(b) When the polynomial \( k x ^ { \prime } + h x ^ { 2 } + 3 x - 1 \) is divided by \( x - 2 \) , Ihe remainder is three times that obtaned when it is divided by \( x - 1 \) . Find the relation between \( k \) and \( h \) . If the remainder is \( 25 \) when the polynomial is divided by \( x + 2 \) . find the values of \( k \) and \( h \) . 

\( [ 8 \) marks] 

Answer

(a)(3x+2)(2x-1)(x+2)   negative integer solution is x=-2 

(b) 

Solución
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