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If 
f(x)=(2x-5)(x+2)(x+6)+8, what is the value of 
f(-6)?
Choose 1 answer:
(A) -60
(B) 0
(C) 2
(D) 8

If f(x)=(2x5)(x+2)(x+6)+8 f(x)=(2 x-5)(x+2)(x+6)+8 , what is the value of f(6)? f(-6) ? \newlineChoose 11 answer:\newline(A) 60-60\newline(B) 00\newline(C) 22\newline(D) 88

Full solution

Q. If f(x)=(2x5)(x+2)(x+6)+8 f(x)=(2 x-5)(x+2)(x+6)+8 , what is the value of f(6)? f(-6) ? \newlineChoose 11 answer:\newline(A) 60-60\newline(B) 00\newline(C) 22\newline(D) 88
  1. Substitute xx in f(x)f(x): To find the value of f(6)f(-6), we need to substitute xx with 6-6 in the function f(x)=(2x5)(x+2)(x+6)+8f(x)=(2x-5)(x+2)(x+6)+8.
  2. First term substitution: Substitute xx with 6-6 in the first term (2x5)(2x-5):(2(6)5)=125=17.(2*(-6)-5) = -12 - 5 = -17.
  3. Second term substitution: Substitute xx with 6-6 in the second term (x+2)(x+2):(6+2)=4.(-6+2) = -4.
  4. Third term substitution: Substitute xx with 6-6 in the third term (x+6)(x+6): (6+6)=0\ (-6+6) = 0.
  5. Multiply the terms: Now multiply the results of the three terms together: (17)×(4)×(0)=0(-17) \times (-4) \times (0) = 0, because any number multiplied by zero is zero.
  6. Add constant term: Finally, add the constant term 88 to the product of the three terms:\newline0+8=80 + 8 = 8.

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