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Find k so that 4x + 3 is a factor of 20x³ + 23 x² - 10x + k.

User Jesuisme
by
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1 Answer

4 votes

Answer:

k= 28.875

Explanation:

4x+3= 0

4x= -3

X = -3/4

f(X)= 20x³+23x²-10x+k

0= 20(-3/4)³ + 23 (-3/4)² -10(-3/4)+k

20(-27/64)+23(9/16) +30/4+k

-540/64+207/16+7.5+k

-8.4375+12.9375+7.5+k. 0=-28.875+k

k=28.875

User Bigxiang
by
7.2k points