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Sphinxa [80]
3 years ago
12

Factor the expression: 2x2 − 5x − 3

Mathematics
2 answers:
arlik [135]3 years ago
8 0

Please use " ^ " to denote exponentiation:  2x^2 − 5x − 3

Rather than try to factor this from scratch, test the given factors in the possible answers.  Looking at the fourth possible answer (D), we see that two criteria are satisfied:  (1) the product of +1 and -3 is -3, which equals the third term of the given polynomial, and (2) +1x - 6x = -5x, which equals the second term.  Thus,

2x^2 − 5x − 3 =  (2x + 1)(x − 3)

Igoryamba3 years ago
8 0
The answer is “D” .. hope I helped you ❤️
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Which second degree polynomial function f(x) has a lead coefficient of 3 and roots 4 and 1?
Stella [2.4K]

Answer:

f(x) = 3x² - 15x + 12

Step-by-step explanation:

Given f(x) has roots x = a and x = b, then

(x - a) and (x - b) are the factors

f(x) is then the product of the factors

f(x) = a(x - a)(x - b) ← where a is a multiplier

Given roots are x = 4 and x = 1, then

(x - 4) and (x - 1) are the factors

With a = 3, then

f(x) = 3(x - 4)(x - 1) ← expand factors using FOIL

     = 3(x² - 5x + 4) ← distribute

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7 0
3 years ago
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The points (2, r) and (5, -9) lie on a line with slope – 2. Find the missing coordinate r.
Veseljchak [2.6K]

Answer:

-3

Step-by-step explanation:

5-2 is three

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2 years ago
I just need an explanation on why I was wrong and why the correct answer is correct
Nookie1986 [14]

Answer:

9

Step-by-step explanation:

<u><em>Definition of: Coefficient</em></u>

A number used to multiply a variable.

<u><em>Example:</em></u> 6z means 6 times z, and "z" is a variable, so 6 is a coefficient.

Variables with no number have a coefficient of 1.

<u><em>Example</em></u>: x is really 1x.

<em><u>coefficients:</u></em>

3<em>x⁴</em>+ 5<em>x²</em> + 1<em>x</em>

<u><em>sum of the coefficients:</em></u>

3 + 5 + 1

8 + 1

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