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Harman [31]
2 years ago
12

X^2+16x+64 can anyone show the work for this and find the factor.

Mathematics
1 answer:
Alexandra [31]2 years ago
8 0

Answer:

should i simplify it? or factorise it?

<u>I</u><u> </u><u>g</u><u>u</u><u>e</u><u>s</u><u>s</u><u> </u><u>i</u><u>t</u><u>s</u><u> </u><u>f</u><u>a</u><u>c</u><u>t</u><u>o</u><u>r</u><u>i</u><u>s</u><u>e</u><u>!</u><u> </u><u>S</u><u>o</u><u> </u><u>i</u><u> </u><u>m</u><u> </u><u>f</u><u>a</u><u>c</u><u>t</u><u>o</u><u>r</u><u>i</u><u>s</u><u>i</u><u>n</u><u>g</u><u>!</u>

x^2+16+64

(x)^2+2×x×8+(8)^2

(x+8)^2

=(x+8)(x+8)

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\bf \begin{array}{cccllll} \stackrel{\textit{point (0,-7)}}{-7=a(0)^2+b(0)+c}& \stackrel{point (7,-14)}{-14=a(7)^2+b(7)+c}& \stackrel{point (-3,-19)}{-19=a(-3)^2+b(-3)+c}\\\\ -7=c&-14=49a+7b+c&-19=9a-3b+c \end{array}

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\bf -19=9a-3b-7\implies -12=9a-3b\implies -12=9a-3(-1-7a) \\\\\\ -12=9a+3+21a\implies -15=9a+21a\implies -15=30a \\\\\\ -\cfrac{15}{30}=a\implies \blacktriangleright -\cfrac{1}{2}=a \blacktriangleleft \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{and since we know that}}{-1-7a=b}\implies -1-7\left( -\cfrac{1}{2} \right)=b\implies -1+\cfrac{7}{2}=b\implies \blacktriangleright \cfrac{5}{2}=b \blacktriangleleft \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill y=-\cfrac{1}{2}x^2+\cfrac{5}{2}x-7~\hfill

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