Question

For this problem let f(t) = 2,3 – 222 - +2 a) List all possible rational zeros of the function f(2), separated by commas: 2 b) List all zeros of the function f(2), separated by commas: 2-1,1

Answer 1

Given: f(x) = x - 2x²-xta (a) Since all coefficients are integers, we can apply. the rational Zeros theorm The trailing Coefficient (coefficient of the constant term) is PIL; I2 al rational are finding its factor's (with plus and mind 8): +1; +2. These are the possible values for p The leading coefficient (coefficient of the term with the highest degree) is "1" finding its factors Tiroidan ska (with plus & minus) : 41. These care the possible values for a is for a rolboout find all possible values of ď trion College roots +1,I a. 16 Now, check the possible roots ; if a is a root of the polynomial P(w), the remainder from the division of should equal 'o' to check 1 ; f(x) 23--222-2+2 FU. 3-2.12- 1 ta = 4-ster =0 4 'is root: P(x) by x-a check f ; fl-1 = (-1)3-01-12-(-1) +2 aux atto O. is root

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