Question

Divide the following polynomial, then place the answer in the proper location on the grid.

Answer 1

Answer:

$6x^{2} +11x-35 \div 3x-5=2x+7$

Step-by-step explanation:

The given polynomials are

$6x^{2} +11x-35$

$3x-5$

If we divide them by the long method, the process would be as shows the image attached.

So, by long division, the quotient between the given polynomials would be

$6x^{2} +11x-35 \div 3x-5=2x+7$

We can demonstrate this by multiplying $(3x-5)(2x+7)$

$(3x-5)(2x+7)=6x^{2} +21x-10x-35=6x^{2} +11x-35$

Answer 2

6x² + 11x - 35 = (3x - 5)(2x + 7)  

=> (3x - 5)(2x + 7)/(3x - 5)  

i.e. 2x + 7...........as the 3x - 5 term cancels.