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find the reminder theorem of p(×)=×⁴+3׳-16ײ+2×-7at ×=3​

Sagot :

Answer:

The remainder of the function is 17

Step-by-step explanation:

-›In algebra, the polynomial remainder theorem or little Bézout's theorem is an application of Euclidean division of polynomials. It states that the remainder of the division of a polynomial f(x) by a linear polynomial

therefore,

[tex]f(x) = x {}^{4} + 3x {}^{3} - 16x { }^{2} + 2x - 7 \\ f(3) = (3) {}^{4} + 3(3) {}^{3} - 16(3) {}^{2} + 2(3) - 7 \\ f(3) = 81 + 81 - 144 + 6 - 7 \\ f(3) = 17[/tex]

therefore,

the remainder of the given function at the given x value is 17

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