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the area of a rectangle knitted blanket is 9x^2-6x-8. What are the possible dimensions of the blanket? Use factoring​

Sagot :

amysun2025

Answer:

3x+2 and 3x-4

Step-by-step explanation:

We are given the quadratic equation 9x²-6x-8.

first, multiply 9 and -8 together (factors a*c, which equals to the sum that is b)

the result is -72

now think:

which two numbers add up to -6, but when multiplied, equal -72?

Those two numbers are -12 and 6

we can expand the polynomial:

9x²-12x+6x-8

factor by grouping:

3x(3x-4)+2(3x-4)

(3x-4)(3x+2)

so, the dimensions of the blanket are (3x-4) and (3x+2)

Hope this helps :)

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