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Readme [11.4K]
3 years ago
11

Which is a factor of 4x2 + 36x + 72?

Mathematics
2 answers:
olga55 [171]3 years ago
5 0
If you factor that out, it would be 4(x+6)(x+3)
s2008m [1.1K]3 years ago
4 0

Answer:

Factorization of 4x^2 + 36x + 72 is:

4(x+3)(x+6)

factors are: 4, x+3 and x+6

Step-by-step explanation:

we are given a expression:

4x^2 + 36x + 72

We have to factorize this expression

4x^2 + 36x + 72=4(x^2+9x+18)

Now, we factorize (x^2+9x+18)

x^2+9x+18=x^2+6x+3x+18\\\\=x(x+6)+3(x+6)\\\\=(x+3)(x+6)

Hence, factorization of 4x^2 + 36x + 72 is:

4(x+3)(x+6)

factors are: 4, x+3 and x+6

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solniwko [45]

Answer:

a) (0.555, 0) and (6, 0)

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Step-by-step explanation:

Set each term in the numerator and denominator equal to 0 and find r.

In the numerator:

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In the denominator:

r = 9/5, 7/8, or -3

Zeros in the numerator that aren't in the denominator are r-intercepts.

Zeros in the denominator that aren't in the numerator are vertical asymptotes.

Zeros in both the numerator and the denominator are holes.

a) (0.555, 0) and (6, 0)

b) r = -3 and r = 1.8

c) Evaluate m(r) at r = 7/8.  To do that, first divide out the common term (-8r + 7) from the numerator and denominator.

m(r) = (-9r+5)² (r−6)² / ( (-5r+9)² (r+3)² )

m(⅞) = (-9×⅞+5)² (⅞−6)² / ( (-5×⅞+9)² (⅞+3)² )

m(⅞) = (-23/8)² (-41/8)² / ( (37/8)² (31/8)² )

m(⅞) = (-23)² (-41)² / ( (37)² (31)² )

m(⅞) = 0.676

The hole is at (0.875, 0.676).

d) Evaluate m(r) at r = 0.

m(0) = (-9×0+5)² (0−6)² / ( (-5×0+9)² (0+3)² )

m(0) = (5)² (-6)² / ( (9)² (3)² )

m(0) = 1.235

The m(r)-intercept is (0, 1.235).

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