Math, asked by gslant7954, 2 months ago

find the largest value of n such that 3x^2 + nx + 72 can be factored as the product of two linear factors with integer coefficients. PLEASE show your work.
AND ACTUALLY GIVE THE CORRECT ANSWER, AND NOT JOST SAY SOME RANDOM SHI.

Answers

Answered by BlessOFLove
4

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n = 217

Step-by-step explanation:

The quadratic expression that we have to factorize is 3x² + nx + 72.

So, we have to find factors of (3 × 72) i.e. 216.

Now, we can write 216 as

(1 × 216), Hence, 1 + 216) = 217

(2 × 108), Hence, 2 + 108 = 110

(3 × 72), Hence, 3 + 72 = 75

(4 × 54), Hence, 4 + 54 = 58

So on.

Therefore, to factorize 3x² + nx + 72, the maximum value of n which can be put in place of n to factorize the expression is 217. (Answer)

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Answered by Anonymous
0

I dón't knów whát the héll is this.l

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