Mathematics: Given that (x - 2) is a factor of this polynomial, use the factor theorem to find the value of a. p(x) = x^4 - 3x^3 + ax^2 - 6x + 14

Given that (x - 2) is a factor of this polynomial, - id23880949, makaalbarnthemeister

Ответ:

mazielynn84

10.01.2022

The factor theorem states that if (x-a) is a factor of P(x) the P(a) = 0 so we can write, for this polynomial:

2^(4) - 3(2)^3 + A(2)^2 - 6(2) + 14 = 0

16 - 24 + 4A - 12 + 14 = 0
4A = -16+24 + 12 - 14 = 6
A = 6/4 = 1.5

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Ответ:

kayla2945

24.06.2021

Mathematics

x = 67

Step-by-step explanation:

72 + x = 139

-72 -72

x = 67

hope this helps

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Given that (x - 2) is a factor of this polynomial, use the factor theorem to find the value of a.

p(x) = x^4 - 3x^3 + ax^2 - 6x + 14

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