Question

deltamath
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a1 u6 polynomials two
due: february 11 at 11:59 pm
grade: 90%
box method level 2 (guided)
simplify by distributing (level 2)
arithmetic on polynomial
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simplify by distributing (level 2)
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question
write the following expression as a simplified polynomial in standard form.
$3(x - 5)^2 + 5(x - 5) - 2$
answer attempt 1 out of 2
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Explanation:

Step1: Expand $(x-5)^2$

$(x-5)^2 = x^2 - 10x + 25$

Step2: Distribute the 3

$3(x^2 - 10x + 25) = 3x^2 - 30x + 75$

Step3: Distribute the 5

$5(x-5) = 5x - 25$

Step4: Combine all terms

$3x^2 - 30x + 75 + 5x - 25 - 2$

Step5: Combine like terms

$3x^2 + (-30x+5x) + (75-25-2) = 3x^2 -25x +48$

Answer:

$3x^2 -25x +48$