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BartSMP [9]
2 years ago
5

COMPLETE THE FOLLOWING EQUATION USING APPROPRIATE SIGN ( +,-,x,÷) IN THE BOXES GIVEN:

Mathematics
1 answer:
VARVARA [1.3K]2 years ago
6 0

Answer:

) +, -

e) x, ÷

g) ÷

Step-by-step explanation:

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Put the trinomial x^2+8x+14 into (x+a)^2+b form where a and b can be positive or negative. Thanks!
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(x + a)^2 + b form can be achieved by a method known as completing the square.

Step 1: Divide the b term by 2 and square it

8 / 2 = 4

4^2 = 16

Step 2: Add and subtract 16 from the expression

---Adding 16 creates a perfect square trinomial between x^2 + 8x + 16. But, if we add 16, we also need to subtract it. So, we will subtract 16 from our c term, 14.

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Step 3: Factor the perfect square trinomial

(x^2 + 8x + 16) - 2

(x + 4)(x + 4) - 2

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Answer: (x + 4)^2 - 2

Hope this helps! :)

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