Check weather(-2x-5) is a factor of the polynomial p(x)=3x^4+5x^3-2x^2-4
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Answer:
Not a factor.
Step-by-step explanation:
Let -2x-5 = 0
x = -5/2
f(x) = 3x^4+5x^3-2x^2-4
f(-5/2) = 3(-5/2)^4 + 5(-5/2)³ - 2(-5/2)² - 4
= 3(625/16) + 5(-125/8) - 2(25/4) - 4
= 1875/16 - 625/8 - 25/2 - 4
= (1875 - 1250 - 200 - 64)/16
= 411/16 ≠ 0
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