Zero

Algebra Level 1

Consider the polynomial function f ( x ) = 3 x 3 2 x 2 + 40 f(x) = 3x^3 - 2x^2 + 40 . Is 4 a zero of f ( x ) f(x) ?

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2 solutions

Find f ( 4 ) f(4) .

f ( 4 ) = 3 4 3 2 4 2 + 40 = 200 f(4) = 3*4^3 - 2*4^2 + 40 = 200

Since f ( 4 ) f(4) is not equal to zero, 4 is not a zero of f ( x ) f(x) .

@Marvin Kalngan , I have edited your solution again.

Chew-Seong Cheong - 4 years, 9 months ago
. .
Feb 27, 2021

f ( x ) = 3 x 2 2 x 2 + 40 , and we have to get f ( x ) . Then 3 × 4 3 2 × 4 2 + 40 = 3 × 64 2 × 16 + 40 = 192 32 + 40 = 232 32 = 200 . So, the answer is No . f ( x ) = 3 x ^ { 2 } - 2 x ^ { 2 } + 40 \text { , and we have to get } f ( x ) \text { . Then } 3 \times 4 ^ { 3 } - 2 \times 4 ^ { 2 } + 40 = 3 \times 64 - 2 \times 16 + 40 = 192 - 32 + 40 = 232 - 32 = \boxed { 200 } \text { . So, the answer is \boxed { \text { No } } . }

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