In the equation x^2 + 10x + 24 = (x + a)(x + b), b is an integer. Find algebraically all possible

1 answer:

8 0

To factor (x² +10x+24); you first have to ask yourself, what 2 numbers will multiply and give me positive 24, but add and give me positive 10? After listing your factors, (1,24)(2,12)(3,8)and (4,6); you decide that (4*6)=24 & adds to get you 10. Meaning that (x²+10x+24) factors are (x+4)(x+6).
Now algebraically, there wouldn't be any other possible value of b, 6, because if you put (-6) & (4), those numbers will multiply and give you (-24) and add & give you (-2); & that is not what you're looking for.

I hope I explained this enough for you to understand. (:

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This number is in scientific notation. 2. 4 × 10-4 Convert the number into standard notation. What is the value? 2. 4 × 10-4 =.

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The value of the number 2.4x10⁻⁴ in the standard notation is 0.00024.

<h3>What are Scientific notations?</h3>

The way through which a very small or a very large number can be written in shorthand. In scientific notations when a number between 1 and 10s is multiplied by a power of 10.

For example, 6,500,000,000,000 can be written as 6.5×10¹².

As the value of the scientific notation is given 2.4x10⁻⁴, therefore, for bringing it in the standard form we need to shift the decimal to the left by four digits. So,

$2.4 \times 10^{-4}\\\\= \dfrac{2.4}{10000}\\\\= 0.00024$

Hence, the value of the number 2.4x10⁻⁴ in the standard notation is 0.00024.

Learn more about Scientific notation:

brainly.com/question/1740231

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