Question

1. convert 0.000607 to scientific notation94. convert 3.1875 × 10⁸ to decimal notationsynthesis95. describe in your own words an approach can be used to factor any trinomial of the form ax² + bx + c that is not prime.96. suppose (rx - p)(sx - q) = ax² - bx is true. explain...

Explanation:

Step1: Identify trinomial coefficients

For $3x^2 - 4x - 4$, $a=3$, $b=-4$, $c=-4$

Step2: Find product $a \times c$

$a \times c = 3 \times (-4) = -12$

Step3: Find pair summing to $b$

Find two numbers that multiply to $-12$ and add to $-4$: $-6$ and $2$

Step4: Split middle term

Rewrite trinomial: $3x^2 - 6x + 2x - 4$

Step5: Factor by grouping

Group terms: $(3x^2 - 6x) + (2x - 4) = 3x(x - 2) + 2(x - 2)$
Factor out common binomial: $(3x + 2)(x - 2)$

Step1: Move decimal to get 1-10

Shift decimal 4 places right: $6.07$

Step2: Assign negative exponent

Since decimal moved right, exponent is $-4$

Step1: Move decimal right 4 places

Shift decimal 4 places right: $31875$

Answer:

$(3x + 2)(x - 2)$

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For the visible numbered questions:

93. Convert 0.000607 to scientific notation