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Ber [7]
3 years ago
10

Which binomial is a factor of x^2 + 2x - 15

Mathematics
1 answer:
Shalnov [3]3 years ago
8 0

Answer:

(x−5)(x+3)

Step-by-step explanation:

To factorise, we firstly need two brackets, each containing an x.

(x)(x)

This creates the x2 term.

Now we need to get the rest of the terms. To do this, we need two factors of −15 which will add/subtract to give us +2

The two factors that do this are −3 and 5, as −3+5=2

∴(x−3)(x+5)

You can check by expanding it out.

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Answer:

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Step-by-step explanation:

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Help me please, this is really hard.
Snowcat [4.5K]

The points of new triangle is (3,-2), (6,-3) and (2,-5).

<u>Step-by-step explanation:</u>

The given points in the triangle A(-3,7), B(9,3) and C(-7,-5).

The scale factor is \frac{1}{4} and centered at point (5,-5).

The formula to dilate a point that is not centered on a origin is given by,

D(x,y)=(h+t(x-h),k+t(y-t)).

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To find A',

D(-3,7)=(5+\frac{1}{4}(-3-5),-5+\frac{1}{4}(7+5)).

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D(-3,7)=(3,-2).

To find B',

D(9,3)=(5+\frac{1}{4}(9-5),-5+\frac{1}{4}(3+5)).

D(9,3)=(5+\frac{1}{4}(4),-5+\frac{1}{4}(8)).

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To find C',

D(-7,-5)=(5+\frac{1}{4}(-7-5),-5+\frac{1}{4}(-5+5)).

D(-7,-5)=(5+\frac{1}{4}(-12),-5+\frac{1}{4}(0)).

D(-7,-5)=(5-3,-5+0).

D(-7,-5)=(2,-5).

∴ The points of new triangle is (3,-2), (6,-3) and (2,-5).

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