A polynomial P is given. P(x) = x4 + 18x2 + 81 (a) Factor P into linear and irreducible quadratic factors with real coefficients. P(x) = (b) Factor P completely into linear factors with complex coefficients. P(x) =|

Q: Factorise the following quadratic: f(x)=x2−72f(x)=x2−72 Select one: f(x)=(x+7)(x-7) f(x)=(x-7)(x-7)…

A: The given equation is, f(x)=x2-72 The objective is to factorize f(x) Use the following identity…

Q: Find all zeros of the ploynomial (real and complex) and factor the polynomial completely…

A: To obtain the roots of the function use the synthetic division as, -31    7    18    18   -3 -12  -8…

Q: Given P(x) 3x55x4 +63x³ 105x²300x + 500, and that 5i is a zero, write Pin factored form (as a…

A:

Q: (x+1) is a factor of x²+2x²+2x+1 Find the other factor.

A: is a factor of .To find other factor.

Q: '-7r + 19r- 13 and write it as the product of three 2. (3.4) Factor the polynomial P(r)-r linear…

A: Substitute x=1 in the given equation Then P(x)=0 So (x-1) is a factor of P(x)

Q: f(x) = x + 9x² + 8x – 60 %3D

A: detailed solution is given below

Q: Find m so that x– 5 is a factor of f (x)= 4x² – 21x² +mx–15.

A: Consider the given polynomial fx=4x3-21x2+mx-15

Q: The quadratic form Q(x) = -3x,? – 7x2? – 4x3? is %3D (a) Negative definite (b) Indefinite (c)…

A:

Q: (d) Are there monic FSP polynomials (of some degree) that have real number coefficients, but some of…

A: Solution of part (d): Suppose there is a monic FSP polynomials of degree k that have real number…

Q: Factor f(x)= 4x- 9x-30x+ 8 into linear factors gpiven that-2 is a zero of f(x). %3D f(x) = 4x - 9x…

A:

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.