OpenStudy (anonymous):

Please help!!! Determine two different values of “b” in x2 + bx + 30 so that the expression can be factored into the product of two binomials. Explain how you determined those values and show each factorization. Explain how your process would change if the expression was 2x2 + bx + 30.

4 years ago
OpenStudy (anonymous):

What you want, is to open two sets of parenthesis, so that x is in the first position, and since the constant is 30, you could have (+3)(+10), then you would have (x + 3)(x+10) = x^2 + 13x + 30, so b = 13 in this case. Or, you can have (x + 6)(x + 5) which also yields x^ + bx + 30. And specifically, you would have x^2 + 11x + 30, so b = 11 in this case. Other possibilities are possible. So 2 possible values for b is b = 10 and b = 11.

4 years ago
OpenStudy (anonymous):

I don't understand at all ): @Easyaspi314

4 years ago
OpenStudy (anonymous):

When you want to factor x^2 + bx + 30, you are looking for two numbers that when you multiply them you get +30, and when you add them up, you get b.

4 years ago
OpenStudy (anonymous):

okay, so 10 and 3? @Easyaspi314

4 years ago
OpenStudy (anonymous):

Thats one possibility...so (x+10)(x+3) is a possibility...and when you multiple (x+10)(x+3) you get x^2 + 13x + 30...so b = 13.

4 years ago
OpenStudy (anonymous):

I used 5 and 6 which is also fine. I also used 5 and 6, which is also fine. You could also use 1 and 30.

4 years ago
OpenStudy (anonymous):

Or even 2 and 15 is fine. Many ways.

4 years ago
OpenStudy (anonymous):

oh okay I think I get it! Thank you!

4 years ago
OpenStudy (anonymous):

I got: x^2+bx+30 or x^2+bx+30 2*15=30 3*10=30 (x+2)(x+15) (x+3)(x+10) x^2+2x+15x+30 x^2+3x+10x+30 b=17 b=13 good so far? @Easyaspi314

4 years ago
OpenStudy (anonymous):

I had to give 2 examples

4 years ago
OpenStudy (anonymous):

Correct. You were just asked to give 2 possible values for b, although there are more than 2 possible, as discussed.

4 years ago
OpenStudy (anonymous):

It says to explain how the process would change if the expression was 2x^2+bx+30 "I would have to multiply 30 and 2 and get 60. Then I would have to determine the possibility of b from the factors of 60, instead of 30." Is this answer good? or do I need more detail, explaining, etc.? @Easyaspi314

4 years ago