Find the value of e so that (r + 3) is a factor of the polynomial p(x). p(x) = a-4x² + cx + 33

Q: P(x) = axa-3 + b² xa+b+5+ c²xc-b+2 - dxc+d

A: Polynomial function: A polynomial function is an expression made up of one or more terms with…

Q: The polynomial p(r) r-7x - 6 has a known factor of (x+1). Rewrite p(r) as a product of linear…

A: We have to solve given problem:

Q: Write the polynomial as the product of linear factors. f(t)=t3+49t   f(t)=     List all the…

A: Roots of the polynomial

Q: Find a general solution to the differential equation using the method of variation of parameters.…

A: The complete solution is in given below

Q: Use the given zero to find the remaining zeros of the polynomial function. (Enter your answers as a…

A: Given that, the polynomial is Px=x4-4x3+35x2-62x+130 and the zero of the polynomial is 1+2i. Note…

Q: Given P(x) = x³ + 5x? + 4x + 20. Write P in factored form (as a product of linear factors). Be sure…

A: We have to write the factored form of Px=x3+5x2+4x+20.

Q: Find p(1) and p (-3) of each polynomial. p(x) = 3x4 - 2x2+1 %3D

A:

Q: The polynomial p(r) r- 19a – 30 has a known factor of (x+ 2). Rewrite p(r) as a product of linear…

A: See the attachment

Q: Find the quotient and the remainder by synthetic division of the polynomial P(x) for the given…

A: The solution using synthetic division method is given below.

Q: Factor the polynomial, then solve the equation f (x) = 0 over the R (a) f(r) = r + 4x? +r -6 %3D (b)…

A:

Q: 5) y=-x(x²-4), Y A B C 4( C( ) B( ) )

A: we have to find the behaviour

Q: The function is in polynomial degree. Get all the roots. f(x) = x8+2x7

A:

Q: Which of the following is a factor of the polynomial. f (x) = 2x3 + x2 - 7x - 6

A:

Q: (a) Suppose we factor the polynomial a+25 as much as possible. Explain why there will be no linear…

A: (a) The given polynomial is : x4+25. We will apply the formula: a2-b2=(a+b)(a-b). We can factorize…

Q: Factor out the GCF of the given polynomial y(x+9)+4(x+9)

A: Consider the polynomial  y(x+9)+4(x+9)

Q: Is x+ 4 a factor of f(x) = x5 + 10x4 + 29x3 – 28x2 (Use Synthetic Division in conjunction with the…

A:

Q: I. Complete the table below. Polynomial GCF Remaining Factor Factor Form 10a + 15a 14x'y - 7x'y

A: Given :10a2+15a414x3y2-7x4y

Q: Use the given zero to completely factor P(x) into linear factors. zero: 3-i; P(x) = x² - 6x³ +46x² -…

A:

Q: Factor and find the zeros of the following polynomial and write its behavior

A:

Polynomials

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