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Use the remainder theorem to find the remainder when f(x) is divide

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Use the remainder theorem to: find the remainder when
f(x) is divided by x+4. Then use the factor theorem to
determine whether x+4 is a factor of f(x).
f(x)=2x^4+19x^3+24x^2-8x-64
Solution
f(x)=2x^4+19x^3+24x^2-8x-64 on dividing
by (x+4), we get remainder = -480 quotient = 2x^3 + 13x^2
- 28x + 104 Sub. x = -4 in f(x) ,cleary, f(-4) is not zero,
hence (x+4) not a factor !!

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Use the remainder theorem to: find the remainder when f(x) is divided by x+4. Then use the factor theorem to determine whether x+4 is a factor of f(x). f(x)=2x^4+19x^3+24x^2-8x-64 Solution f(x)=2x^4+19x^3+24x^2-8x-64 on dividing by (x+4), we get remainder = -480 quotient = 2x^3 + 13x^2 - 28x + 104 ...
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