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Please help and show steps please

Please help and show steps please-example-1
User Palindrom
by
7.7k points

1 Answer

5 votes

Answer:

Explanation:

f(x)=3x

2

+9x−16

Quadratic polynomial can be factored using the transformation ax

2

+bx+c=a(x−x

1

)(x−x

2

), where x

1

and x

2

are the solutions of the quadratic equation ax

2

+bx+c=0.

3x

2

+9x−16=0

All equations of the form ax

2

+bx+c=0 can be solved using the quadratic formula:

2a

−b±

b

2

−4ac

. The quadratic formula gives two solutions, one when ± is addition and one when it is subtraction.

x=

2×3

−9±

9

2

−4×3(−16)

Square 9.

x=

2×3

−9±

81−4×3(−16)

Multiply −4 times 3.

x=

2×3

−9±

81−12(−16)

Multiply −12 times −16.

x=

2×3

−9±

81+192

Add 81 to 192.

x=

2×3

−9±

273

Multiply 2 times 3.

x=

6

−9±

273

Now solve the equation x=

6

−9±

273

when ± is plus. Add −9 to

273

.

x=

6

273

−9

Divide −9+

273

by 6.

x=

6

273

2

3

Now solve the equation x=

6

−9±

273

when ± is minus. Subtract

273

from −9.

User John Jared
by
7.5k points

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