Factoring Quadratics | Mathematics | Page 1

winter moss Apr 4, 2024, 4:19 PM

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I need help with questions 3 and 4. Help would be very much appreciated.

late smeltBOT Apr 4, 2024, 4:19 PM

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winter moss I need help with questions 3 and 4. Help would be very much appreciated.

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sleek lantern Apr 4, 2024, 4:21 PM

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winter moss I need help with questions 3 and 4. Help would be very much appreciated.

The algorithm is the same as for (1) and (2). For each variable you just pick its lowest power in all of the expressions to find the its factor in the GCD. Note that if a variable isn't present, its power is 0.

winter moss Apr 4, 2024, 4:28 PM

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sleek lantern The algorithm is the same as for (1) and (2). For each variable you just pick it...

do you know the answer to 4

sleek lantern Apr 4, 2024, 4:29 PM

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winter moss do you know the answer to 4

What did you get?

winter moss Apr 4, 2024, 4:30 PM

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sleek lantern What did you get?

x^2y^3

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and I got 3ab for 3

sleek lantern Apr 4, 2024, 4:32 PM

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Neither is correct.

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Can you show your process?

winter moss Apr 4, 2024, 4:32 PM

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yes

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For number 3: I found the gcf of all digits which was 3. Then I found the smallest variables/exponents , which were a and b and i got 3ab

sleek lantern Apr 4, 2024, 4:34 PM

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winter moss For number 3: I found the gcf of all digits which was 3. Then I found the smalle...

3 and b are correct, but a is incorrect. What are the powers of a in each expression?

winter moss Apr 4, 2024, 4:34 PM

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For number 4: I found the gcf of both which was 1 since 7 is a prime. Then I found smallest variables/ exponents which was only x^2 and y^3

winter moss Apr 4, 2024, 4:35 PM

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sleek lantern 3 and b are correct, but a is incorrect. What are the powers of a in each expres...

since its not a, shouldnt it be a^2?

sleek lantern Apr 4, 2024, 4:35 PM

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winter moss since its not a, shouldnt it be a^2?

No.

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Again, what are the powers of a in each of the three expressions?

winter moss Apr 4, 2024, 4:36 PM

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2, 1 , and 0

sleek lantern Apr 4, 2024, 4:36 PM

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Right. Which is the smallest?

winter moss Apr 4, 2024, 4:36 PM

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0

sleek lantern Apr 4, 2024, 4:36 PM

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Right. So, we should have a^0 = 1 in the GCD.

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Thus, the GCD is just 3b, not 3ab.

winter moss Apr 4, 2024, 4:36 PM

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so 12b is an imaginary a?

sleek lantern Apr 4, 2024, 4:37 PM

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What do you mean?

winter moss Apr 4, 2024, 4:37 PM

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the last expression is 12b so i thought that it was invisible since it is the power 0

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is that correct?

sleek lantern Apr 4, 2024, 4:38 PM

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Oh. Well, I guess you can say that.

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Now, try applying the same principle to (4).

winter moss Apr 4, 2024, 4:38 PM

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alright

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shouldnt it be just 1?

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they dont share any exponents so they are not added to the equation right?

sleek lantern Apr 4, 2024, 4:40 PM

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That's correct.

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The GCD in (4) is just 1.

winter moss Apr 4, 2024, 4:41 PM

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thanks bro

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for helping me

#Factoring Quadratics