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Directions:Factor the following polynomials.Show your complete solutions.
1. P(x)=x²-x-56
2.x³-3x²-10x+24​

Sagot :

Answer:

1.

P (x)=x2-x-56

Let x2-x-56=0

=x2-8x+7x-56=0

=X (x-8) + 7( x-8)=0

=(x+7) ( x- 8) = 0

If (x + 7 )=0

X =0- 7

X = - 7

If (X - 8 ) = 0

X= 0 + 8

X = 8

2.

Let the polyomial p(x)=x³-3x²-10x+24

= x³+(-2x²-x²)+(2x-12x)+24

=(x³-2x²)+(-x²+2x)+(-12x+24)

=x²(x-2)-x(x-2)-12(x-2)

=(x-2)(x²-x-12)

=(x-2)(x²-4x+3x-12)

=(x-2)[x(x-4)+3(x-4)]

=(x-2)[(x-4)(x+3)]

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

Therefore,

Factors of x³-3x²-10x+24

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

Step-by-step explanation:

Sana po makatulong

Answer:

That's my answer

hope it's helps

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View image Kcho59995