2007-07-05 05:08:16 · 9 answers · asked by peaches 1 in Science & Mathematics ➔ Mathematics
pu the value of x.
f(-6) = 4 (36) - 4 (-6) + 8
= 144 + 24 + 8
= 176=y
2007-07-08 17:31:11 · answer #1 · answered by Anonymous · 1⤊ 0⤋
F(x) = x³ - 4x² + x + 6 ? you want to could desire to factorize it you could desire to in looking an handy (- 2, - a million, 0, a million, 2) root to get 0. in case you decision x by skill of making use of - a million: f(- a million) = (- a million)³ - 4(- a million)² + (- a million) + 6 f(- a million) = (- a million) - 4(a million) + (- a million) + 6 f(- a million) = - a million - 4 - a million + 6 f(- a million) = 0 ? which you would be able to factorize: [x - (- a million)] ? (x + a million) = (x + a million)(ax² + bx + c) = ax³ + bx² + cx + ax² + bx + c = ax³ + ax² + bx² + bx + cx + c = ax³ + x²(a + b) + x(b + c) + c ? you learn with: x³ - 4x² + x + 6 which you would be waiting to infer that: c = 6 b + c = a million ? b = a million - c ? b = a million - 6 ? b = - 5 a + b = - 4 ? a = - 4 - b ? a = - 4 + 5 ? a = a million remember: (x + a million)(ax² + bx + c) x³ - 4x² + x + 6 = (x + a million)(x² - 5x + 6) Now, enable's seem: (x² - 5x + 6) Polynomial like: ax² + bx + c, the placement: a = a million b = - 5 c = 6 ? = b² - 4ac (discriminant) ? = (- 5)² - 4(a million * 6) = 25 - 24 = a million x1 = (- b - ??) / 2a = (5 - a million) / (2 * a million) = 2 x2 = (- b + ??) / 2a = (5 + a million) / (2 * a million) = 3 x² - 5x + 6 = (x - 2)(x - 3) f(x) = x³ - 4x² + x + 6 f(x) = (x + a million)(x - 2)(x - 3) in case you like to remedy: f(x) = 0 answer = - a million; 2; 3
2016-11-08 05:38:56 · answer #2 · answered by ? 4 · 0⤊ 0⤋
Just plug -6 in for x.
f(-6) = 4 (36) - 4 (-6) + 8
= 144 + 24 + 8
= 176
y = 176
2007-07-05 05:13:44 · answer #3 · answered by Jordan 2 · 2⤊ 0⤋
Just plug in -6 into the equation wherever u see x. i. e. evaluating the equation above, assuming x=-6, just replace every x in the equation with -6 and *** or simplify by adding subtracting or whatever. So from what you have above,
f(-6)=4(-6)^2 - 4(-6) + 8
f(-6)=144 - (-24) +8
f(-6)=144+24+8=176
Dats ur answer, 176
2007-07-05 05:19:07 · answer #4 · answered by Senbi 2 · 0⤊ 0⤋
=4*(-6)^2 -4*(-6)+8
=4*36 +24 + 8
=144+32
=176
2007-07-05 05:14:11 · answer #5 · answered by Not Eddie Money 3 · 2⤊ 0⤋
It is easy. Everywhere you see x as a placeholder put in -6. But watch out for the fact that a minus number times minus number is a positive number. If you do that you get 176.
2007-07-05 05:20:36 · answer #6 · answered by Rich Z 7 · 0⤊ 0⤋
176
2007-07-05 05:16:17 · answer #7 · answered by Calarco3 2 · 0⤊ 0⤋
560
2007-07-05 05:15:25 · answer #8 · answered by Aditya 1 · 0⤊ 2⤋
(4 * (6^2)) - (4 * 6) + 8 = 128
2007-07-05 05:13:30 · answer #9 · answered by DanE 7 · 0⤊ 2⤋