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Furkat [3]
3 years ago
11

Which is a factor of x^2-9x+14? A. X-9 B. X-2 C. X+5 D. X+7

Mathematics
1 answer:
sukhopar [10]3 years ago
3 0

Answer : B

x^2-9x+14

Lets factor x^2-9x+14

We find out two factors whose product is +14 and sum is -9

Two factors are -2  and -7, we split the middle term -9x using -2  and -7

x^2-2x-7x+14

Group first two terms and last two terms

Then factor out GCF from each term

(x^2-2x)(-7x+14)

x(x-2)-7(x-2)

(x-2)(x-7)

so x-2 is one of the factor

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Answer:

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Simplifying

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6 + -9(-3 + 4p) = 2(6p + 7) + 3

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Solving

33 + -36p = 17 + 12p

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Add '-12p' to each side of the equation.

33 + -36p + -12p = 17 + 12p + -12p

Combine like terms: -36p + -12p = -48p

33 + -48p = 17 + 12p + -12p

Combine like terms: 12p + -12p = 0

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Add '-33' to each side of the equation.

33 + -33 + -48p = 17 + -33

Combine like terms: 33 + -33 = 0

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Combine like terms: 17 + -33 = -16

-48p = -16

Divide each side by '-48'.

p = 0.3333333333

Simplifying

p = 0.3333333333

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