Consider the polynomial P(r) = 2r+r+5z+5r+3r + 4. (a) Find all possible rational roots of P(r) as predicted by the rational root theorem. (b) State the possible numbers of positive and negative real roots. (c) Find a bound on the possible roots of P(r).

Q: Given the polynomial y = 3x³ +21x² +31x + 2, • list the possible rational roots: 2 2 1,-1,-1,- 2,-2,…

A: The given polynomial y=3x3+21x2+31x+2 We have to find the all possible rational roots of the…

Q: Consider the polynomial P(x) = 9x³ – 12x2 – 20x +16. Write P(x) as a product of linear factors. You…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 3. Let p(x) = 6xª – 13x³ + 13x² – 2. - (a) Find q(x) such that p(x) = (2x – 1)q(x) using synthetic…

A:

Q: Consider the polynomial P(x) = x² + 3x³ - 2x² − 3x +2. (a) Determine another polynomial Q equivalent…

A: P(x)= x4 + 3x3 -2x2 - 3x +2 a)  by using Horner's method Q(x)= 2 + x(-3+x(-2+x(3+x)))   {I am…

Q: Use two methods: 1) the rational root theorem and Descartes' rule of signs to find them. 2) Use…

A:

Q: 3. a) For the polynomial function P(x) = 2x- 7x? + 4x + 4, could there be exactly 1 real-valued…

A:

Q: | Using the rational root theorem for the polynominl 5z–2²+2-12, what are the values of esting?

A: The given polynomial is p(x)=5x3-2x2+x-12

Q: 4. Consider this polynomial: P(z) = 2r² – 72² – 5z +4 a) By the Rational Zeros Theorem, list all…

A: The given problem is to find the possibile rational zeros, then find the rational zeros and rewrite…

Q: Find all zeros. f(r) = x* – 4x3 + 11x² – 14x – 30 %3| (a) 3) Find all possible rational zeros. (b)…

A: To find all possible zeroes, we will take all factors of p/q, where p represents the constant and q…

Q: C) Find a polynomial of degree 2 that has two irrational zeros

A:

Q: 20-R] [CLO 22] Let q be the polynomial function given by the formula q(x) = 3x5 − 6x3 + x2 − 6.…

A: To apply the rational root test to the polynomial q(x) = 3x^5 − 6x^3 + x^2 − 6, we need to consider…

Roots

The main dissimilarity between real and complex roots is that the real roots are obtained as real numbers, in contrast with the complex roots, which are indicated as imaginary numbers. The standard format for depicting any complex number is in the form of a + bi.