Hence solve the equation $$\(4 x^{3}+17 x^{2}+9 x-18=0\)$$. ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................

Mathematics
IGCSE&ALevel
CAIE
Exam No:9709_m20_qp_22 Year:2020 Question No:2(b)

Answer:

State or imply equation is \((4 x-3)\left(x^{2}+5 x+6\right)=0\)
Attempt solution of cubic equation to find three real roots
Obtain \(-3,-2, \frac{3}{4}\)

Knowledge points:

1.1.3 solve quadratic equations, and quadratic inequalities, in one unknown (By factorising, completing the square and using the formula.)
2.1.3 use the factor theorem and the remainder theorem.

Solution:

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