Find the zero of the polynomials in each of the following cases.(i) p(x) = x+5

Find a polynomial with integer coefficients that satisfies the given conditions.P has degree 3 and zeros 5 and i.

Use the inner product p, q = a0b0 + a1b1 + a2b2 to find p, q, p, q, and d(p, q) for the polynomials in P2.p(x) = 5 + x2,    q(x) = 5 − x2(a)    p, q (b)    p (c)    q (d)    d(p, q)

zeroes of P(x)= x

The graph of a polynomial P(x) is as shown. The number of zeroes is/are

Which of the following polynomial functions have exactly 5 roots, including all real and imaginary roots?Responsesf(x)=5x4+x3−x2+x−5𝑓(𝑥)=5𝑥4+𝑥3−𝑥2+𝑥−5f of x is equal to 5 x to the 4th power plus x cubed minus x squared plus x minus 5f(x)=4x5+3x4+2x3+x2+x𝑓(𝑥)=4𝑥5+3𝑥4+2𝑥3+𝑥2+𝑥f of x is equal to 4 x to the 5th power plus 3 x to the 4th power plus 2 x raised to the 3 power plus x squared plus xf(x)=5x6−5x4+5x2−5𝑓(𝑥)=5𝑥6−5𝑥4+5𝑥2−5f of x is equal to 5 x to the 6th power minus 5 x to the 4th power plus 5 x squared minus 5f(x)=4x4−3x3+2x2−1