Question

If the polynomial function P has real coefficients and if a + bi is a zero of P, then Incorrect:________
Your answer is incorrect. is also a zero of P. So if 2 + i is a zero of P, then Incorrect:________
Your answer is incorrect. is also a zero of P.

Answer 1

Answer:

• a -bi
• 2 -i

Step-by-step explanation:

If a polynomial has real coefficients, complex zeros come in conjugate pairs.

If a+bi is a zero, then so is a-bi. (a-bi is the conjugate of a+bi)

If 2+i is a zero, then so is 2-i.

Answer 2

Using complex numbers concepts, it is found that:

If the polynomial function P has real coefficients and if a + bi is a zero of P, then a - bi is also a zero of P. So if 2 + i is a zero of P, then 2 - i is also a zero of P.

• The conjugate of a complex number a + bi is a - bi.
• If a complex number a + bi is a zero of a polynomial P, then it's conjugate is also a zero.

Thus, the completed sentence is:

If the polynomial function P has real coefficients and if a + bi is a zero of P, then a - bi is also a zero of P. So if 2 + i is a zero of P, then 2 - i is also a zero of P.

A similar problem is given at https://brainly.com/question/11088875