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mariarad [96]
3 years ago
7

Factor of 9x2 18x + 8? Factor of 9x^2-18x+8

Mathematics
2 answers:
zmey [24]3 years ago
6 0

Answer:

(3x - 2)(3x - 4).

Step-by-step explanation:

9x^2-18x+8

Use the 'ac' method:

9 * 8 = 72.

We need 2 numbers whose product is + 72 and whose sum is -18

These are -12 and -6 so we rewrite the expression as:

9x^2 - 12x - 6x + 8       Now we factor by grouping:

= 3x(3x - 4) - 2(3x - 4)   The 3x - 4 is common so we have:

(3x - 2)(3x - 4).

statuscvo [17]3 years ago
4 0

Answer:

(3x + 2)

(3x + 4)

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Answer:

<h2>x = -4 or x = -2</h2>

Step-by-step explanation:

f(x)=(x^2+6x+8)(x^2+6x+13)\\\\f(x)=0\iff(x^2+6x+8)(x^2+6x+13)=0\iff\\x^2+6x+8=0\vee x^2+6x+13=0\\\\x^2+6x+8=0\\x^2+4x+2x+8=0\\x(x+4)+2(x+4)=0\\(x+4)(x+2)=0\iff x+4=0\ \vee\ x+2=0\\x+4=0\qquad\text{subtract 4 from both sides}\\\boxed{x=-4}\\x+2=0\qquad\text{subtract 2 from both sides}\\\boxed{x=-2}\\\\x^2+6x+13=0\qquad\text{subtract 13 from both sides}\\x^2+6x=-13\\x^2+2(x)(3)=-13\qquad\text{add}\ 3^2=9\ \text{to both sides}\\x^2+2(x)(3)+3^2=-13+9\qquad\text{use}\ (a+b)^2=a^2+2ab+b^2\\(x+3)^2=-4

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the answer is 90000 or 9e+4. hope I helped!


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