Answer:
2 x 3 + 7 x 2 + 14 x + 12÷ 2x+ 3 = <u> x² +2x+ 4 </u>
Step-by-step explanation:
We multiply the first term 2x of the divisor with a term ( quotient) to get the first term of the dividend. Then we multiply the same term with each term of the divisor and subtract it from the dividend. The process continues unless we get the zero or a much smaller number than the dividend as the remainder
<u> x² +2x+ 4 </u>
2x+3 ║2 x 3 + 7 x 2 + 14 x + 12
2x³ + 3x²
<u> - - </u>
4x² +14x+12
4x²+ 6x
<u> - - </u>
8x+12
8x+12
<u> - - </u>
<u> 0 </u>
B
given a quadratic equation in standard form
ax² + bx + c = 0
Then we can describe the nature of the roots using the discriminant
Δ = b² - 4ac
• if b² - 4ac > 0, then 2 real, distinct and irrational roots
• if b² - 4ac > 0 and a perfect square, then real and rational roots
• if b² - 4ac = 0, then real and equal roots
• if b² - 4ac < 0, then roots are not real
for x² + 9x + 14 = 0
with a = 1, b= 9 and c = 14, then
b² - 4ac = 9² - (4 × 1 × 14 ) = 81 - 56 = 25
Since b² - 4ac > 0 and a perfect square, then roots are real and rational
Answer:
yrbfj kejs l
Step-by-step explanation:
Answer:
16/29
Step-by-step explanation:
2 ÷ 3 5/8
= 2 ÷ 29/8
= 2/1 × 8/29
= 2 × 8/ 1 × 29
= 16/29
Hope it helps!
