Factor each polynomial completely: Show your work for credit: 2x3 - 2x -15d3 + 21d2- 6d 2a2 + 8ab - 3a – 12b

Q: Factor each polynomial. (a+2 b)^{2}-4 c^{2}

A: Given: (a+2b)2-4c2

Q: 17. 18x3 + 30x² + 3x + 5

A: The leading and trailing coefficient of the polynomial are:   5 and 18 The factors of 5 are: ±5 and…

Q: Factor each polynomial. (a+b)^{2}-16

A: To factor the polynomial: a+b2-16. Solution: Given polynomial can be written as: a+b2-16=a+b2-42 We…

Q: Factor each polynomial by removing the common monomial factor. 7x - 14

A: The given polynomial is, 7x-14 The common monomial factor of 7 and 14 is 7

Q: Factor each polynomial x2 + 9x + 8

A: The given polynomial is x2+9x+8.

Q: factor each polynomial. 3xy - 5x2y2 - 15x3y3

A:

Q: factor each polynomial. 4x2 - 12xy + 9y2

A: We have the given polynomial expression as 4x2-12xy+9y2

Q: Factor each expression. (b) 2x2  + 5x -12

A:

Q: factor each polynomial. a(x + 4) + b(x + 4)

A: Our Aim is to factor the polynomial given below:-a(x+4)+b(x+4)-(i)

Q: Factor each polynomial 3x2 + 2x - 8

A: Factor each polynomial 3x2 + 2x - 8

Q: Factor each polynomial x2 + 2x -  8

A: Consider the polynomial x2+2x-8 In order to factorize the quadratic polynomial, split the middle…

Q: Factor each polynomial -3y^2-27

A: Equate the given polynomial to zero and then factorise

Q: Factor each polynomial x2 + 7x + 6

A:

Q: Factor each polynomial x2 + 5x + 6

A: We have to factor the polynomial: x2+5x+6 Factorizing the polynomial by middle term splitting…

Q: Factor each polynomial by removing the common monomial factor. 3x + 6

A: Consider: 3x+6. Factor each polynomial. Since 6=3·2. Therefore, 3x+6=3x+3·2

Q: Factor each polynomial x2 + 11x + 10

A: Given : x2 + 11x + 10    We can write given polynomial as,⇒x2+x+10x+10⇒x2+x+10x+10 Now we can take x…

Q: Factor each expression (a) 21x3z3 + 35x3z + 21x2z (b) 15x3y6-3xy3

A: (a) 21x3z3 + 35x3 z + 21x2z Taking 7x2z common from each term = 7x2z ( 3xz2 + 5x + 3) (b) 15x3y6 -…

Q: Factor each polynomial 12x4 + 56x3 + 32x2

A: To factor the polynomial:  12x4+56x3+32x2 Solution: First we will take out greatest common factor.…

Q: factor each polynomial. 27x3 + 64y3

A: We have to factorize the polynomial 27x3+64y3.

Q: Factor each trinomial, if possible. 15p2 + 24p + 8

A: To factorize: 15p2 + 24p + 8

Q: factor each polynomial. x2 + 11x + 28

A: The given polynomial is x2+11x+28. Factor this polynomial as follows.

Q: Factor each polynomial. x4 - 16

A: From the given data:

Q: factor each polynomial. x2 + 6x - 16

A: Given expression: x2+6x-16 (a quadratic polynomial)

Q: factor each polynomial. 49a2 - 25b2

A: factor each polynomial. 49a2 - 25b2

Q: factor each polynomial. x2 + 16xy + 64y2

A: Given, x2+16xy+64y2 now factor each polynomial x2+16xy+64y2=0x2+8xy+8xy+64y2=0xx+8y+8y(x+8y)=0 its…

Q: factor each polynomial  69. X2-8x+16-y2

A: To find the factor of the given polynomial.

Q: factor each polynomial. 36x2 - y2

A: Write 36x2 as (6x)2.   (6x)2−y2

Q: Factor each polynomial by grouping. 10 a b-6 b+35 a-21

A: 10ab - 6b + 35a - 21

Q: Factor each polynomial x2 + 6x + 8

A: Given:x2+6x+8

Q: factor each polynomial. x2 - 4x - 21

A: Consider the polynomial: x2 - 4x - 21 Assume that the above equation is in the form x2+bx+c…

Q: Factor each polynomial by removing the common monomial factor. 60x2y - 48xy2 + 72x3y

A: The polynomial:  60 x2y-48xy2+72x3y

Q: Factor each polynomial 2x2 + 4x + 1

A: Given: The polynomial as 2x2+4x+1, To determine: The factorization of the given polynomial.

Q: Factor each trinomial, if possible. 30a2 + am - m2

A: 30a2 + am - m2

Q: Factor each trinomial, if possible. 3m2 + 14m + 8

A: We need to factor the following expression 3m2+14m+8

Q: Factor each polynomial. 9a2 - 16

A:

Q: Factor each polynomial. (p-2 q)^{2}-100

A:

Q: 3x +18x +24x

A: Factor the given polynomial

Q: factor each polynomial. 10a2b - 5ab3 - 15a3b2

A: Consider the given: px=10a2b−5ab3−15a3b2Apply exponent rule:     ab+c=abaca3b2=aa2bb, ab3=abb2,…

Q: Factor each trinomial, if possible. 18x5 + 15x4z - 75x3z2

A: The factorization of the trinomial is shown below.

Q: factor each polynomial. 8x2 - 10x - 3

A: 8x2-10x-3

Q: factor each polynomial. y(3x - 1) + 7(3x - 1)

A: Our Aim is to factor the polynomail given below:-y(3x-1)+7(3x-1)-(i)

Q: factor each polynomial. 12x2 - 5x - 2

A: factor each polynomial. 12x2 - 5x - 2

Q: factor each polynomial. 6x2 - 11x + 4

A: The given polynomial is  6x2 - 11x + 4

Q: Factor each polynomial x2 + 7x + 10

A: Find the factors of the polynomial x2+7x+10 by using middle term split method. Split the middle…

Q: Factor each polynomial. 8 q^{6}+125 p^{9}

A:

Q: Factor each polynomial x2 - 2x -  8

A:

Q: Name each polynomial by degree and number of terms. 1) 2p + p 2) 3) 2x2 4)

A: Degree of polynomial :             The degree of a polynomial is the degree of the monomial with…

Q: Factor each expression. a) 64x' + 27y c) (x+5)'- (2 b) - 3x +24x d) x + 64

A:

Q: Factor each polynomial. y^{2}-x^{2}+12 x-36

A:

Q: Factor each polynomial by removing the common monomial factor. 2x2 - 2x

A: We have to factor the polynomial: 2x2-2x Here, 2x2=2x×x and, 2x