Show that the binomial is a factor of the polynomial. Then factor the polynomial completely. g(x) = x - x - 20x; x+4 g(x) = D

Q: Factor the polynomial. 7) Factor f(x) = 6x³ + 31x² - 29x + 6 given that %3D is a zero. 3

A: Given polynomial is : fx=6x3+31x2-29x+6 13 is one of the zeroes To factor the polynomial.

Q: Factor the polynomial comp 10 x2 +2x-120 Ox-12)(x+ 10) DA 0x+12)(x - 10)

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Q: Show that the binomial is a factor of the polynomial. Then factor the polynomial completely. h(x) =…

A: Given; h(x)=x3-x2-24x-36;x+2

Q: use the remainder to find the remainder when (2x2-3x²+7x-8) is divided by (x-1)

A: We have to find

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 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: factor when possible. if a polynomial is prime say so x2-8x+12 =

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Q: a. Rewrite the polynomial 2x² + x in standard form. ° +-7x + 1 b., What is the leading coefficient?…

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Q: Find the factor of x^2-8x+16

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Q: Find the degree of the polynomial y = 3x² + 4x5 - 5+x8

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Q: The second polynomial is a factor of the first. Factor the first polynomial completely.…

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Q: Factor the polynomial completely, and find all its zeros. State the multiplicity of each zero. P(x)…

A: To find the zeros

Q: The binomial X+4 is a factor of which polynomial? O A.x2 +2x-24 о В. х3—10х? +33х - 36 OCX3- 2x?…

A: To find that x+4 is factor of which polynomial

Q: Factor the polynomial function f(x)=12x3−41x2−27x−4f(x)=12x3-41x2-27x-4.

A: Given,          Factor the polynomial function fx=12x3-41x2-27x-4.

Q: Add the proper constant to the binomial so that the resulting trinomial is a perfect square…

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Q: Determine if the binomial x+4 is a factor of the polynomial p(x)=8x4+32x3+x+4.

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Q: The polynomial function g (x) = 3x³ +11x? – 14x – 40 has a known factor of (3x +5). Rewrite g(x) as…

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Q: The value of the polynomial 5x - 4x2+3 , when x = -1

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Q: What is the degree of this polynomial? 5x* +2x -x² +x - 1 A 11 B 4 10 6.

A: Degree of polynomial is the highest power of x in the given polynomial.

Q: Find the value of k for which the first polynomial is a factor of the second polynomial. x-5,-x +2x…

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Q: The binomial x-2 is a factor of 2r-5x-x+6. What are the other factors of the polynomial? (x+ 1)(x +…

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Q: a) Determine the value(s) of k so that the binomial is a factor of the polynomial. x² – 6x – 7, x+ k

A: a) Given

Q: How can I identify the degree of the polynomial and identify its leading coefficient? -20x3…

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Q: When factoring a polynomial of the form x2 − bx − c, pick an appropriate combination of signs. ( +…

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Q: A polynomialf(x) and 6) f(x) =x4 - 2x3 A) ±3, ±1 + 4,

A: In this we have to find the factors of the polynomial then after roots so I'm providing hand written…

Q: Which is true about the polynomial -3xy2 + 5x3y? OIt is a binomial with a degree of 2. OItis a…

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Q: Completely factor the polynomial f(x) = x +7x? + 10x.

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Q: Show that the binomial is a factor of the polynomial. Then factor the polynomial completely. s(x) =…

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Q: Find the remainder R when is divided by .Is g a factor of f?

A: Given,

Q: P(X)=3X^5+4X^3+2X^2+3X-6 How many zeros does the above polynomial have?

A: From the given problem:   Px=3x5+4x3+2x2+3x-6   Now differentiate the given function with respect to…

Q: 5. Find the degree, the leading term, the leading coefficient, the constant term, and the end…

A: Given polynomial, P(x) = -x^3+5x^2-2x-7

Q: The binomial X+ 4 is a factor of which polynomial? O A. x2 + 2x- 24 O B. x3 –10x? +33x-36 OCX3- 2x?…

A: The binomial x+4 is a factor of a polynomial if P-4=0 Option A: x2+2x-24…

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: The polynomial 3x2 + bx - 4 has x - a as a factor, where a #0. Express b in terms of a.

A: Given polynomial is 3x2+bx-4...........(1) (x-a) is a factor of (1), so plugging x=a in the given…

Q: Find values of a, b, and c such that the graph of the polynomial p(x) = ax²+bx+c passes through the…

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Q: 5. Find the degree, the leading term, the leading coefficient, the constant term, and the end…

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Q: Find the factor of x^2-7x+10

A: We have to find the factor of  x2 - 7x + 10  = x2 - 5x - 2x + 10

Q: A) Determine if the given binomial is a factor of the polynomial Px. If so, factor completely. Show…

A: P(x)=2x3+17x2+23x-45,divide by  (x+6)…

Q: Find the value of c so that (x- 2) is a factor of the polynomial p(z). p(a) a-4x2 +3x + c C = Show…

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Q: 2) How many roots does the polynomial have ? a) 2x - 4x? + 9x - 1 b) 2x* - 9x 1

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Q: Factorize the Polynomials : (1 a) x- 27= b) 4x* - x2 - 4x²y² + y2

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Q: The binomials (x- 2) and (2x +3) are the factors of which polynomial?

A: We have to find the polynomial which the binomials (x - 2) and (2x + 3) are the factors . Then ,…

Q: Factor the polynomial completely, and find all its zeros. State the multiplicity of each zero. P(x)…

A: Given polynomial is Px=16x4-81. To factor the polynomial completely and find all its zeroes and…

Q: Factor the polynomial completely f(x) =x^4-4x^3-8x^2+12x+15

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Q: Algebraically factor the polynomial P(x)=x* +3x' – 3x² – 7x+6. |

A: Given polynomialp(x)=x4+3x3-3x2-7x+6solution:-put x=1p(1)=14+313-312-71+6p(1)=0here x=1 is a factor…

Q: Use the Binomial Theorem to simplify (x – 2)3 as a polynomial ax3 + bx? + cx + d.

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Q: Find the degree, leading coefficient, and the constant term of the polynomial. f(x)=3x+2x^5+6+4x^4…

A: Degree is the sum of the exponents on all terms. Leading Coefficient is just the term multiplying…

Q: Use the REMAINDER THEOREM to find the remainder of each division. State whether the binomial is a…

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