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The greatest common factor (GCF) of 4x^2 and 6x can be found by factoring each term. 4x^2 can be factored into 4 * x * x, while 6x can be factored into 2 * 3 * x. The GCF is the product of the common factors with the lowest exponent, which in this case is 2 * x = 2x. Therefore, the GCF of 4x^2 and 6x is 2x.
(4x+1)(4x-3)
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If that's - 4x, the answer is (2x + 3)(2x - 5) If that's + 4x, the answer is (2x - 3)(2x + 5)
It is: -3(4x-0.50) = -12x+1.50 or as 1.50-12x
It can't be simplified any more. That is the answer, 3*4X or 12x
4x + 3
8x + 8 = 4x 4x + 8 = 0 4x = -8 x = -2
4x - 1 = 11 4x = 12 x = 3
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To find the quotient when 4x^2 - 36 is divided by x - 3, you can use polynomial long division. First, divide 4x^2 by x to get 4x, then multiply x - 3 by 4x to get 4x^2 - 12x. Next, subtract 4x^2 - 12x from 4x^2 - 36 to get -12x - 36. Since -12x does not have a term with x - 3, the quotient is 4x.
-1 Here is why: let x be the number, 4x+7=3 4x=3-7=-4 so 4x=-1 and x is -1
3+4x=15 4x=15-3 4x=12 x=12/4 x=3 The check is: If x=3 then, 3+ (4 X 3)=15 3+12=15
(4x^4 - x³ + 17x² + 11x + 4) ÷ (4x + 3) = x³ - x² + 5x - 1 remainder 7. Do the division via long division, looking at the highest power of x in the dividend: _________________x³ ___- x²_ + 5x - 1 ________----------------------------------- 4x + 3 | 4x^4 - x³ + 17x² + 11x + 4 _________4x^4 + 3x³ _____________________ ← x³(4x + 3); x³ in the quotient _________-------------- _______________- 4x³ + 17x² ______________ ← subtract and bring down next term (+ 17x²) _______________ -4x³ __ -3x² ______________ ← -x²(4x + 3); - x² in the quotient _______________--------------- ______________________ 20x² + 11x ________ ← subtract and bring down the next term (+ 11x) ______________________ 20x² + 15x ________ ← 5x(4x + 3); + 5x in the quotient ______________________ -------------- ______________________________ -4x + 4 ____ ← subtract and bring down the next term (+ 4) ______________________________ -4x - 3 _____ ← -1(4x + 3); -1 in the quotient ______________________________ -------- ___________________________________ 7 ______ ← subtract; no more terms to bring down, this is remainder.
It is possible to factorise 4x²-9 further.Factorising is to express a number or expression as a product of factors.The technique of factorising two terms: a² - b² = (a + b) (a - b)If we apply ( 4x²-9 ) to the previous technique: 4x² - 9 = (2x + 3) (2x - 3)
-9 < 4x + 3 < 11 Subtract 3 from each expression: -12 < 4x < 8 Divide each term by 4: -3 < x < 2
(4x2 - 13x - 12)/(4x+ 3) = (4x + 3)(x - 4)/(4x + 3) = (4x + 3)(x - 4)/(4x + 3) = x - 4 :)