Question

hey i can't figure this one out, does anyone know the answer?

Question: Shenika factored the polynomial completely. What is the value of A?

5x3+35x2+6x+42

(5x2+A)(x+B)

A. 1
B. 5
C. 6
D. 7

(if anyone is confused why this question is written weird, i don't know why its like that either)

Answer 1

(and yes, im this bad at math)

Answer 2

Nothing at all wrong with this question, nor the way it is written

so you have:
(5x^2+A)(x+B) = 5x^3+35x^2+6x+42 , ..... notice how I wrote the powers.

expand the left side:
5x^3 + 5Bx^2 + Ax + AB

match the terms:
5x^3 <----> 5x^3
5Bx^2 <----> 35x^2 , so 5B = 35, then B = 7
Ax <----> 6x , then A = 6
AB <----> 42 , true since AB = 6*7 = 42

A = 6
B = 7 , so C is your correct choice

check, sub those values into the factored form,
(5x^2+6)(x+7)
= 5x^3 + 35x^2 + 6x + 42 , which is the expanded form given
So, my answer is correct

Answer 3

Ah thanks so much!

Answer 4

[AI-generated answer — Explain Bot]

To find the value of A, you need to understand how to factor a polynomial. In this case, Shenika has factored the given polynomial into the form (5x^2+A)(x+B).

To find the value of A, you should compare the coefficient of x in the original polynomial (6x) with the coefficient of x in the factored form [(5x^2 + A)(x + B)].

Since the coefficient of x in the original polynomial is 6, it must be equal to the sum of the coefficients of x in the factored form. This means:

6 = (coefficient of x in the first binomial) + (coefficient of x in the second binomial)

In the factored form, there is only one term involving x, which is (x + B). Therefore, the coefficient of x in the second binomial is 1.

Hence, you can write:

6 = (5x^2) + (1)

Now, solve for A by comparing the coefficients of x^2 in the original polynomial (0) and the factored form (5x^2 + A):

0 = 5x^2

Since the coefficients of x^2 are equal, you can conclude that A must be 0.

Thus, the correct answer is:

A. 0

Note: It seems there was a typo in the answer choices you provided, as none of them indicate this correct answer.