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Leona [35]
2 years ago
6

Please help me with algebra part B and C. attachment below. Will mark as brainslist. 25 points.

Mathematics
1 answer:
miv72 [106K]2 years ago
8 0

Answer:

C. (-7x+60)(x+4)

Step-by-step explanation:

Consider the expression -7x^2+32x+240.

First, note that

a=-7\\ \\b=32\\ \\c=240

Find the discriminant

D=b^2-4ac=32^2-4\cdot (-7)\cdot 240=1,024+6,720=7,744\\ \\\sqrt{D}=\sqrt{7,744}=88

Now,

x_1=\dfrac{-b+\sqrt{D}}{2a}=\dfrac{-32+88}{2\cdot (-7)}=-4\\ \\x_2=\dfrac{-b-\sqrt{D}}{2a}=\dfrac{-32-88}{2\cdot (-7)}=\dfrac{60}{7}

Write the factored form:

-7x^2+32x+240=-7(x-(-4))\left(x-\dfrac{60}{7}\right)=(x+4)(-7x+60)

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