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07.10.2020 •
Mathematics
P(x) = 3x^3-7x^2-22x+8 True or false: the intercept form of the polynomial function above is P(x) = (x+2)(3x-1)(x-4)
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Ответ:
true
Step-by-step explanation:
There are some quick checks you can make:
is the product of the x-terms equal to the leading term (yes, 3x^3)is the product of the constants equal to the constant (yes, 8)is the sum of coefficients of x^2 correct (yes, 2(3)-1(1)-4(3)=-7)is the sum of coefficients of x correct (yes, (-1)(-4)+3(2)(-4)+(2)(-1)=-22)So, the factored form multiplies out to give the standard form shown. The proposition is TRUE.
__
I find it much easier to identify the factored form from the graph. We know the leading coefficient is 3, so the factor 3(x-1/3) becomes (3x -1).
Ответ:
X>0 is your answer
Step-by-step explanation:
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