(x^4 + 24x - 10x^2) Divide by (x + 4)
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Answer:
Answer: Quotient x^3-4x^2+6xx
3
−4x
2
+6x , Remainder 0
Fraction Method because I can't post pic
Use : \frac{x^4-10x^2+24x}{x+4}
x+4
x
4
−10x
2
+24x
→ \frac{x^3(x+4-4)-4x^3-10x^2+24x}{x+4}
x+4
x
3
(x+4−4)−4x
3
−10x
2
+24x
eliminate highest degree
→ x^3+\frac{-4x^3-10x^2+24x}{x+4}x
3
+
x+4
−4x
3
−10x
2
+24x
take -1 out
→ x^3+\frac{-4x^2(x+4-4)-10x^2+24x}{x+4}x
3
+
x+4
−4x
2
(x+4−4)−10x
2
+24x
→ x^3-4x^2+\frac{16x^2-10x^2+24x}{x+4}x
3
−4x
2
+
x+4
16x
2
−10x
2
+24x
→ x^3-4x^2+\frac{6x^2+24x}{x+4}x
3
−4x
2
+
x+4
6x
2
+24x
→ x^3-4x^2+\frac{6x(x+4)}{x+4}x
3
−4x
2
+
x+4
6x(x+4)
→ x^3-4x^2+6xx
3
−4x
2
+6x
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