Answer:
A. x + 4
Step-by-step explanation:
f(x) = 4x⁴ − 21x³ − 46x² + 219x + 180
Plug in the zero of each binomial. If it's also a zero of f(x), then that binomial is a factor of f(x).
f(-4) = 936
f(-3) = 0
f(5) = 0
f(-3/4) = 0
The binomial (x + 4) is not the factor of the polynomial. Then the correct option is A.
The algebraic factors with exactly two terms are known as binomial components. Although binomials are simple to solve and their roots are identical to those of polynomials, binomial factors are intriguing.
The polynomial is given below.
⇒ 4x⁴ – 21x³ – 46x² + 219x + 180
Let's check all the factors.
If the factor does not satisfy the polynomial, then the binomial is a factor of the polynomial.
For x + 4 = 0, then we have
The value of the polynomial at x = -4, will be
⇒ 4(-4)⁴ – 21(-4)³ – 46(-4)² + 219(-4) + 180
⇒ 4(256) – 21(-64) – 46(16) + 219(-4) + 180
⇒ 1024 + 1344 – 736 – 876 + 180
⇒ 2548 – 1612
⇒ 936
Thus, the binomial (x + 4) is not the factor of the polynomial.
Then the correct option is A.
More about the Binomial factor link is given below.
https://brainly.com/question/17010849
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