Question

1 A polynomial expression of degree three is shown below.

Answer 1

Answer:

C: $(2x+5)(4x^2-10x+25)$

Step-by-step explanation:

First of all, you need to be able to recognize the two terms as cubes, and what they are cubes of. In this case, $8x^3 = (2x)^3$ and $125=5^3$.

Then you have to find a way you like to remember the formula for how to factorize. The way I do it is by saying "the binomial has the same zero as the original, so $x^3+a^3=(x+a)(...)$ and $x^3-a^3 = (x-a)(...)$ and the whole expression has one minus sign attached to the second term of either factor. In the sum of cubes first parenthesis has a plus, so the second term of the other parentesis has to take that minus: $x^3+a^3=(x+a)(x^2-ax+a^2)$ while in the difference of cubes you already used a minus, so everything else goes plus: $x^3-a^3=(x-a)(x^2+ax+a^2)$

Or you commit the two formulas to memory.

Answer 2

Answer:

D şıkkı iyi dersler hadi