Question

Factor completely 3ab − 5ax + 9b − 15x.

(3b + 5x)(a + 3)
(3b − 5x)(a + 3)
(3b − 5x)(a − 3)
Prime
Question 2(Multiple Choice Worth 1 points)
(08.02)
Factor completely 5x(x + 3) + 6(x + 3).
(x + 3)(30x)
(x + 3)(5x + 6)
(x + 3)(11x)
Prime
Question 3(Multiple Choice Worth 1 points)
(08.02)
Factor completely 2cb + 7cx + 2b + 7x.
(2b − 7x)(c − 1)
(2b + 7x)(c + 1)
(2b − 7x)(c + 1)
Prime
Question 4(Multiple Choice Worth 2 points)
(08.02)
Factor completely 21x3 + 35x2 + 9x + 15.
(3x − 5)(7x2 − 3)
(3x − 5)(7x2 + 3)
(3x + 5)(7x2 − 3)
(3x + 5)(7x2 + 3)
Question 5(Multiple Choice Worth 1 points)
(08.02)
Factor completely 9xy + 36x − 10y − 40.
Prime
(y − 4)(9x − 10)
(y + 4)(9x + 10)
(y + 4)(9x − 10)
Question 6(Multiple Choice Worth 2 points)
(08.02)
Factor completely 14bx2 − 7x3 − 4b + 2x.
(2b + x)(7x2 + 2)
(2b − x)(7x2 − 2)
(2b + x)(7x2 − 2)
Prime
Question 7(Multiple Choice Worth 2 points)
(08.02)
Factor completely 4xy + 9x + 24y + 54.
(4y − 9)(x − 6)
(4y − 9)(x + 6)
(4y + 9)(x − 6)
(4y + 9)(x + 6)

Answer 1

The correct Answer is D. (4y + 9)(x + 6)

Explanation:

took thee Test

Answer 2

Answer: The answers are given below.

Step-by-step explanation: We are given to factorise some quadratic expressions.

We will be using the following factorisation formula:

`x^2+ax+bx+ab=(x+a)(x+b).`

The factorisation is as follows:

We have

`(1)~3ab-5ax+9b-15x\\\\=a(3b-5x)+3(3b-5x)\\\\=(3b-5x)(a+3).`

Thus, option (B)
`(3b-5x)(a+3)` is correct.

`(2)~5x(x+3)+6(x+3)\\\\=(x+3)(5x+6).`

Thus, option (B)
`(x+3)(5x+6)` is correct.

`(3)~2cb+7cx+2b+7x\\\\=c(2b+7x)+1(2b+7x)\\\\=(2b+7x)(c+1).`

Thus, option (B)
`(2b+7x)(c+1)` is correct

`(4)~21x^3+35x^2+9x+15\\\\=7x^2(3x+5)+3(3x+5)\\\\=(3x+5)(7x^2+3).`

Thus, option (D)
`(3x+5)(7x^2+3)` is correct.

`(5)~9xy+36x-10y-40\\\\=9x(y+4)-10(y+4)=(y+4)(9x-10).`

Thus, option (C)
`(y+4)(9x-10)` is the correct option.

`(6)~14bx^2-7x^3-4b+2x\\\\=7x^2(2b-x)-2(2b-x)\\\\=(2b-x)(7x^2-2).`

Thus, option (B)
`(2b-x)(7x^2-2)` is the correct option.

`(7)~4xy+9x+24y+54\\\\=x(4y+9)+6(4y+9)\\\\=(4y+9)(x+6).`

Thus, option (D)
`(4y+9)(x+6)` is correct.