Find the value of k if the division of kx^3 + 9x^2 + 4x -10 by x+3 leaves a remainder -76
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Answer:
k=2
Step-by-step explanation:
x= -3
f(x)=kx³+9x²+4x-10
putting the value of x in f(x)
f(-3) => k(3)³+9(-3)²+(4*(-3))-10=-76
=> -27k + 81 - 12 - 10 = - 76
=>-27k = - 76 + 22 - 81
=>-27k = - 135
by cancelling(-) from both sides
27k=135
by dividing 27 on both sides
k=2
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