While “digital” commonly refers to electronics in general, the scientific definition of digital is much different. “Digital” in information science refers to the finite, discontinuous phenomenon (e.g., on or off states in a light bulb) as opposed to infinitely varying, continuous analog phenomenon (e.g., the brightness of daylight). It can also refer to representing data in figures as opposed to data represented in pictorial form.

5 0

3 years ago

Which expression is the factorization of x2 + 10x + 21?

LiRa [457]

<h2>Solution:</h2>

Equation: x² + 10x + 21

Step 1: Find two numbers that can add up to 10 and be multiplied to 21. We have: 7 & 3, in the sense that 7+3=10, and 7×3=21. Replacing 10 with 7+3, the equation is now → x² + 7x + 3x + 21

Step 2: Get the new equation bracketed → (x² + 7x) (+3x + 21)

Step 3: Use 'x' in the equation. For the first part, we have 'x'. x² = x × x so, bring out one x out side the bracket, divide 7x by = 7 → x (x +7). Do the same for the second part by dividing 21 by 3 = 7, and then bringing out 3 from the bracket → 3 (x + 7).

Bringing everything together, we have: x(x+7) +3(x+7) → (x+3) (x+7)

<h3>Final answer:</h3>

(x+3) (x+7)

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4 0

2 years ago