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Andrew [12]
3 years ago
11

Help me please i dont know how to do all of this ill really appreciate it please

Mathematics
2 answers:
kherson [118]3 years ago
8 0
Okay. First things first, we will distribute the -7 out to the numbers in the parenthesis. To do that, you will multiply each number in there by -7. -7 * -19c is 133 and -7 * -6 is 42. That makes the numbers become 133c + 42. We will combine like terms with -14c. 133c - 14c is 119c. The expression becomes 119c + 42. The expression in simplest form is 119c + 42.
anzhelika [568]3 years ago
4 0
Hello!

The expression: -14c-7(-19c-6).

First step: Apply the Distributive Property; it is a(b + c) = ab + ac.

-14c-7(-19c-6)
-14c+133c+42

[A negative times a negative equals a positive.]
Next step: Combine like terms.

-14c+133c+42
119c+42

The simplified expression is 119c+42.
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Answer:

\huge\boxed{p(x)=4x^3-20x^2+4x+300}

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p(x)=(x^2-2(x)(4)+4^2-3^2i^2)(x+3)\bigg(r(x)\bigg)\qquad\text{use}\ i^2=-1\\\\p(x)=(x^2-8x+16-9(-1))(x+3)\bigg(r(x)\bigg)\\\\p(x)=(x^2-8x+16+9)(x+3)\bigg(r(x)\bigg)\\\\p(x)=(x^2-8x+25)(x+3)\bigg(r(x)\bigg)\qquad\text{use FOIL}:\ (a+b)(c+d)=ac+ad+bc+bd\\\\p(x)=\bigg((x^2)(x)+(x^2)(3)+(-8x)(x)+(-8x)(3)+(25)(x)+(25)(3)\bigg)\bigg(r(x)\bigg)\\\\p(x)=(x^3+3x^2-8x^2-24x+25x+75)\bigg(r(x)\bigg)\qquad\text{combine like terms}\\\\p(x)=(x^3-5x^2+x+75)\bigg(r(x)\bigg)

\text{The y-intercept is at 300}.\\\\\text{For}\ w(x)=a_nx^n+a_{n-1}x^{n-1}+a_{n-2}x^{n-2}+...+a_1x+a_0\\\\\text{y-intercept is}\ a_0\\\\\text{Therefore for}\ p(x)=(x^3-5x^2+x+75)\bigg(r(x)\bigg)\\\\\text{y-intercet is}\ 75\bigg(r(x)\bigg)\\\\75\bigg(r(x)\bigg)=300\qquad\text{divide both sides by 75}\\\\r(x)=4\\\\\text{Finally:}\\\\p(x)=(x^3-5x^2+x+75)(4)\qquad\text{use the distributive property}\\\\p(x)=(x^3)(4)+(-5x^2)(4)+(x)(4)+(75)(4)\\\\p(x)=4x^3-20x^2+4x+300

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If you like my answer and explanation, mark me as brainliest!

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