For a polynomial P(x), if P 0, then which of the following must be a factor of P(x)? %3D a) 5x +3 b) x- c) 5x-3 d) 3x + 5

Q: If f(a) = x + 9x2 - 12a- 20, which of the following is a factor of f (r)? %3D ㅇ (z- 10) Submit…

A: Explanation: Given a function: f(x)=x3+9x2-12x-20 Let  put x = 2 into the given function…

Q: If a and B are the zeroes of the polynomial 2y +7y+5, Find the value of a +B+aß

A:

Q: Find the value of k such that x − 4 is a factor of x3 − kx2 + 2kx − 8.

A: Here we have to find the value of k,  It is given that,  x − 4 is a factor of f(x)= x3 − kx2 + 2kx −…

Q: Show that x² − 4 is a factor of x⁴ − 5x³ + 2x² + 20x − 24

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Q: Show that (x- 3) is a factor of 2.x3 - 2x2 - 17x + 15. Hence express 2x³ – 2.x² – 17x + 15 in the…

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Q: Complete the term-coefficient-degree table for the polynomial  y4 -y3 + 12y2 +3y

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Q: The polynomial 3x4 - 2x3 + 13x2 - 5 is of degree . The leading coefficient is _______ .

A: The degree of the polynomial is the highest power appearing for the variable presented in the…

Q: Find the value of c so that (x - 3) is a factor of the polynomial p(x).p(x) = x4 - 3x2 + - 2x + c

A: Consider the given polynomial.The given polynomial is p(x) = x4– 3x2– 2x +c.It is known that if x–a…

Q: The polynomial f (x) a+ 16x +k is a perfect square trinomial. What is the value of k?

A:

Q: Find m so that x + 5 is a factor of - 3x - 10x + 20x - 22x + m.

A: Given: x+5 is a factor of   -3x4-10x3+20x2-22x+m. To find: The value of m.

Q: Find the roots of the polynomial: f(x) = x4 + 4x2 – 32.

A: We have to find the roots of polynomial: fx=x4+4x2-32 To find the roots of given polynomial we need…

Q: or why not

A: The given equation is:

Q: Is (x + 2) a factor of the polynomial: x^4 + x^3 - 2x^2 + 3x + 7, and what was the remainder? * no,…

A: Solution

Q: What is the completely factored form of xy – xn

A: Given : xy3 - x3y

Q: For a polynomial P(x), if F = 0, then which of the following must be a factor of %3D P(x)? O A) 3x+…

A: Given P-35=0 We have to find the factor of Px

Q: If x+2a is a factor of x5-4a2x3+2x+2a+3 , Find a

A: Explanation of the solution is given below..

Q: - Given that ( x + 1) is factor of the polynomial P(x) = x³ – x² – x – m. The value of m is A 1 B в…

A: Using polynomial and its factor properties

Q: Find m so that x+5 is a factor of 5x3+29x2+mx+20

A: Let f(x)=5x^3 + 29x^2 +mx+20 , if (x+5) is a factor of f(x) then by factor theorem f(-5)=0

Q: Show that x² – 4 is a factor of x* - 5x³ + 2x? + 20x – 24.

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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: Find the zeroes of p(x) = x² + 5x + 6.

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Q: If (x + 3) is a factor of x3 - 13x – 12, what are the other factors. A. (x- 6) and (x + 2) B. (x –…

A: Given data is : If x+3 is a factor of x3-13x-12 What are the other factors.

Q: Is (x +3) a factor of the following polynomial? Why or why not? f(x) = 2x³ - 7x2 - 35x + 12. %3D

A: Is the (x+3) is factor of 2x3-7x2-35x+12 for that we use we value of x in given polynomial and we…

Q: Find m so that x+4 is a factor of 5x^3 +18x^2+mx+16

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Q: Find the roots of the polynomial: f (x) = x4 + 4x² – 32

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Q: Q3//A/By using co- factor 1 -2- if AD find A1 =? %3D 3. 2-

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Q: Given that 3 is a root of a given polynomial, what can you say is a factor of that polynomial? A 3 x…

A: If x = 3 is a root of the polynomial  Then x-3=0 So, x-3 will be a factor of a polynomial  As we…

Q: The polynomial p(x) = 6x4 - ax3 - bx2 + 28x + 12 where a and b are constant, has factors (x+2) and…

A: The given polynomial is p(x)=6x4-ax3-bx2+28x+12 since x+2 is the factor so x=-2 will make the…

Q: Examine whether x+ 2 is a factor of x3+3x2+5x+6 and of 2x+4

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Q: If a,ß the zeroes of the polynomial 2y + 7y + 5, Find the value of a+ß+aß

A: For finding zeroes I used factor method for quadratic equation I completely solved in the 2nd step…

Q: Find the specific solution. Hint: factor by grouping in pairs first. x" + 2x" - 9x'- 18x = 0,…

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Q: Is x+3 a factor of -x^3+3x-18. Yes or no.

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Q: Given the polynomial P(x) := 9x5 + 17x? the behavior of P(x)? 4x6 + 3, which term "dominates" 9x^5…

A: it's easy .

Q: Suppose we factor the polynomial f(x)=(x² + 2x + 3)² · (x² – 6x + 10)³ as much as possible. Choose…

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Q: (d) Show that x² – 4 is a factor of x* – 5x³ + 2x? + 20x – 24.

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Q: If a polynomial P(x) has (x-7) as a factor, then what number must be a zero of P(x)?

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Q: Deanne has D(x) pesos, Aira has A(x) pesos and Jude has D(x)/A(x) pesos, where D(x) = x3 - 7x2 +14x…

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Q: Find m so that x + 4 is a factor of 5x3 + 18x2 + mx+ 16

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Q: If sun of the Squares zeroes of the quadratic Polynomials f(x)=x2-8x+k is 40.Find K.

A: Given- fx=x2-8x+k and sum of squares of zeros is equal to 40. To find-  The value of k. Concept…

Q: Find the value of c so that x+2 is a factor of the polynomial p(x). p(x)=4x3+cx2+x+2

A: Here we find the value of c so that x+2 is a factor of the polynomial p(x)where p(x)=4x3+cx2+x+2

Q: Complete the term-coefficient-degree table for the polynomial. y4 − y3 + 10y2 + 7y

A: The degree of polynomial is equal to the degree of the highest degree term.

Q: If x – 2 is a factor of x3- 4x2 + 8x + k then the value of k is

A: Given: x-2 is a factor of x3-4x2+8x+k.

Q: Given a(x) = x +2x +4x- 10 and b(x) =+2, is b(x) a factor a(x)?

A: From the division theorem, if b(x) = (x-c) is the factor of polynomial a(x) then a(c) = 0.

Q: - Which of the following is NOT factor of x4- 4x ? A C T+ 2 T 2 E (z-2) 2)

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Q: 7x²+

A: We will use synthetic division:

Q: In the polynomial P(x)=(x-1)4(x+3)(2x+3)3(x-6)2 the multiplicity of the zero 6 is?

A: Given:

Q: Suppose we factor the polynomial f(x)=(x² + 2x + 3)² · (x² – 6x + 10)³ as much as possible. Choose…

A: To check whether a given quadratic equation can be factorized, we first need to check the…

Q: If a ,ß are the zeroes of the polynomial 2y + 7y + 5, find the value of a + ß+ aß

A:

Polynomials

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