2. Which of the following polynomials cannot be factored by factoring out a GCF? a. 9x2 – 8 1x + 27 b. 15x2 + 3x c. 2x + 4 d. 3x2 + 12x + 14

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

A:

Q: 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)…

A: If a is zero of polynomial P(x)   i.e. P(a) = 0 then (x-a) is factor of polynomial.

Q: factor the following polynomials 1. -15x7 + 3x4 - 9x6 2. 4xy?z3 + 12x3y²z + 16x²y³z 3. 5r6s4 - 15…

A: 1) -15x7+3x4-9x6=-3x4(5x3-1+3x2)=-3x4(5x3+3x2-1) 2) 4xy2z3+12x3y2z+16x2y3z=4xy2z(z2+3x2+4xy)

Q: Select ALL the factors of the following polynomial: 2.x – 3r – 12? + 7x +6

A:

Q: C. 2a + 1 4. a )(a2 -1) (a - 1) (a + 1) (a - 1) (a + 1)

A: We factorize the given polynomial by factorize middle term i.e. term of a^2 .

Q: Given that (2x - 1) and (r + 3)are factors of the polynomial,2a + 13x2 + 17x 12, what is the third…

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: Which of the following polynomials has a remainder of 1 when divided by x + 2, x + 3 and x + 5? x³ +…

A: We have to find the polynomial

Q: Which polynomial is prime? x3 + 3x2 + 2x + 6  x3 + 3x2 – 2x – 6  10x2 – 4x + 3x + 6  10x2 – 10x +…

A:

Q: Which of the following is a factor of 6x² + 17x + 12? O 3x + 4 O 2x +4 O 3x + 3 O None of the above

A:

Q: Factor the following polynomial. xy + 4y - 4x - 16

A: we have to factor the polynomial: xy+4y-4x-16

Q: Which of the following polynomials is a difference of​ squares? A.49x^2+64 B.7x^2-8…

A:

Q: Which of the following shows the polynomial below written in descending order? 3x³ +9x-x+ 4x¹2 D OA.…

A:

Q: for which value of b is the following polynomial  factorable over the set of integers? x2 +bx-60

A:

Q: If the remainder after dividing the polynomial (5x³ - 3.x* + k) by (x+ 1) is 4, which of the…

A:

Q: Determine the value of 7A+7M if 2x4 + 3x3 + + 8x2 + 9x + 3 A За + М + (1+x²)² х — 3 x(1+x²)² 1+x² ||

A: Given: 2x4+3x3+8x2+9x+3x1+x22=Ax-x-31+x2+3x+M1+x22

Q: 16. Factor out the GCF from the polynomial. .2 3xy? - 9xz* + 8y?z

A:

Q: Determine the LCM of the given polynomials: Leave your answer in factored form. x2 + 2x – 24 3x + 18

A: Lcm factors

Q: S. Which polynomials gives a quotlent of (3x + 2x+ 4) and a remalinder of 19 when divided by (2x-3)7…

A:

Q: If given the following polynomials, what type of factoring would you use? 1. x - 4 A. GCF 2. 5x- 10x…

A: Given that, There are four column in which we have to correct match.

Q: Completly factorize x5 + 4x4 + 7x³ + 8x² + 4x + 2 in Q[x]. Justify that the found factors are…

A:

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: Which of the following is the factored form of x^3 + 3x^2 – 10x – 24? * - O (x - 4)(x – 3)(x – 2) O…

A: Let f(x) = x3 + 3x2 - 10x - 24

Q: Which of the following is the correct complete factorization of x4 - 1?…

A: Here we have to factorized,  =x4-1

Q: 35. Consider the polynomial xy + 27xyt + x²y+ 3xy². a) One factor of the polynomial x + 27y is x +…

A:

Q: Which of the following polynomials is a trinomial? O 5x4 + a6 + 5abcx - 10m O 15x°y - 15x + 7y^x³ O…

A:

Q: Which polynomial correctly combines the like terms and expresses the given polynomial in standard…

A: Given: The polynomial expression is 8mn5-2m6+5m2n4-m3n3+n6-4m6+9m2n4-mn5-4m3n3.

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

A:

Q: For which polynomial is the expression (2y – 3)a factor? O 12y – 8 O 45 y- 20 16y – 54 O 2y? + y3

A: This question can be solved by the method of factorization

Q: 4. Which of the following is the correct factored form for 16y? – 40y + 25? A) (4y + 5)(4y – 5) B)…

A:

Q: 2) Write the factored form of the equation for the given polynomial. y (-1, 4) 4 -5 -2 -4

A:

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

A:

Q: -9yz - 3xy + 3xz + x? x? + xy - 4xz - 4zy ven polynomials by factoring by grouping GCF Common Factor

A: We are given the following -9yz-3xy+3xz+x2, x2+xy-4xz-4zy. Here, Greatest Common Divisor of…

Q: 1 Factor the alge 7x +63

A: We have to factor

Q: I. Use the Factor Theorem to determine whether the given binomial of the form x - c is a factor of…

A:

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

A:

Q: If the bottom row as a result of synthetic division is 4 0 3 0 2, then the quotient is which of the…

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Q: Is (z-4) a factor of 6z -272+ 16z-8 O No, it is a not factor. OYes, it is a factor.

A: According to factor theorem, if f(x) is a polynomial of degree n ≥ 1 and 'a' is any real number,…

Q: 2. Determine whether x + 1 is a factor of x27 + 4x20 – 3x15 – 6. -

A: We have to solve

Q: D: x2 - x + 1

A: Which type of polynomial

Q: Which polynomials have been factored correctly? Ox+ 9x*+ 8x - 60 (x+ 5)(x- 2)(x+ 6) 3 120x'+ 164x*+…

A:

Q: Which of the following is the factored form of x3+3x2-10x-24? A. (x+4)(x-3)(x+2) B.…

A: The polynomial is x3+3x2-10x-24.

Q: Which of the following is the correct factorization of 27x3 - 1? O (3x - 1)(3x² + x + 1) O (3x +…

A:

Q: Which of the following polynomial expressions factors to 2x2(x + 1)(3x - 2)? O 6x* + 2x³ – 4x² O 6x…

A: Given query is to find the correct polynomial for the factors.

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: 10.Determine if the given binomial is a factor of the polynomial, yes or no P(x) = x 3 +8x² +11x -…

A: Consider a polynomial p(x). If, At x=a, value of p(x) =0, then (x-a) is a factor of polynomial p(x).

Q: 9.(T) Decide whether each polynomial has (x + y) as one of its factors. Justify your decision.(2.5)…

A: We decide whether each given polynomial has (x+y) as one of its factors.

Q: 3. Which polynomial expresses the product of 4y(3y² +7y – 11)? O A. 12y³ + 7y – 11 о в. 12у3 + 28у —…

A:

Q: determine the degree of the given polynomials. 5y6 + y4 - 2y2 - 8

A: The given polynomial is 5y6+y4-2y2-8

Q: 18, + 33+ 14

A:

Polynomials

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