Mẹo What should be subtracted from the polynomial x 4 2x 3 x 2 18x 15 so that the resulting polynomial?
Kinh Nghiệm về What should be subtracted from the polynomial x 4 2x 3 x 2 18x 15 so that the resulting polynomial? Mới Nhất
Lê Khánh Vy đang tìm kiếm từ khóa What should be subtracted from the polynomial x 4 2x 3 x 2 18x 15 so that the resulting polynomial? được Cập Nhật vào lúc : 2022-10-03 09:50:09 . Với phương châm chia sẻ Bí kíp Hướng dẫn trong nội dung bài viết một cách Chi Tiết 2022. Nếu sau khi đọc Post vẫn ko hiểu thì hoàn toàn có thể lại Comment ở cuối bài để Mình lý giải và hướng dẫn lại nha.Video transcript
Simplify 16x plus 14 minus the entire expression 3x squared plus x minus 9. So when you subtract an entire expression, this is the exact same thing as having 16x plus 14. And then you're adding the opposite of this whole thing. Or you're adding negative 1 times 3x squared plus x minus 9. Or another way to think about it is you can distribute this negative sign along all of those terms. That's essentially what we're about to do here. We're just adding the negative of this entire thing. We're adding the opposite of it. So this first part-- I'm not going to change it. That's still just 16x plus 14. But now I'm going to distribute the negative sign here. So negative 1 times 3x squared is negative 3x squared. Negative 1 times positive x is negative x because that's positive 1x. Negative 1 times negative 9-- remember, you have to consider this negative right over there. That is part of the term. Negative 1 times negative 9 is positive 9. Negative times a negative is a positive. So then we have positive 9. And now we just have to combine like terms. So what's our highest degree term here? I like to write it in that order. We have only one x squared term, second-degree term. We only have one of those. So let me write it over here-- negative 3x squared. And then what do we have in terms of first-degree terms, of just an x, x to the first power? Well, we have a 16x. And then from that, we're going to subtract an x, subtract 1x. So 16x minus 1x is 15x. If you have 16 of something and you subtract 1 of them away, you're going to have 15 of that something. And then finally, you have 14. You could view that as 14 times x to the 0 or just 14. 14 plus 9-- they're both constant terms, or they're both being multiplied by x to the 0. 14 plus 9 is 23. And we're done. Negative 3x squared plus 15x plus 23.
Nội dung chính- Video transcriptAny division statement can be rewritten in the form of Dividend = Divisor x Quotient + Remainder. When the remainder is zero, the dividend is said to be the multiple of the divisor. When the remainder is not equal to zero, and if it is subtracted from the dividend, then the dividend would become a multiple of the divisor. Dividend =
Divisor = Step 1: Divide the dividend by
divisor ) (
-___+____-___
-____+_____-____
-____+____-____
Quotient = Remainder =
Hence, on subtracting 2x – 3 from the dividend, it will be exactly divisible by the given divisor.What should be subtracted from the polynomial x 4 2x 3 x 2 18x 15 so that?What must be subtracted from the polynomial f/x x4 2x3 − 13x2 − 12x 21 so that the resulting polynomial is exactly divisible by x2 − 4x 3?What must be subtracted from 4x 4 − 2x 3 − 6x 2 x − 5 so that the result is exactly divisible by 2x 2 x − 2?What must be subtracted from 4x 4 3x 3 2x 2 x 1?
We know that Dividend = Quotient x Divisor + Remainder.
Dividend - Remainder = Quotient x Divisor.
Clearly, Right hand side of the above result is divisible by the divisor.
Therefore, left hand side is also divisible by the divisor.
Thus, if we subtract remainder from the dividend, then it will be exactly divisible by the divisor.
Dividing x4 + 2x3 − 13x2 − 12x + 21 by x2 − 4x + 3
Therefore, quotient = x2 + 6x + 8 and remainder = (2x - 3).
Thus, if we subtract the remainder 2x - 3 from x4 + 2x3 − 13x2 − 12x + 21 it will be divisible by x2 − 4x + 3.
Given:
the polynomial f(x) = x4 + 2x3 - 13x2 - 12x + 21
To find:
What must be subtracted from the polynomial x4 + 2x3 - 13x2 - 12x + 21 so that the resulting polynomial is exactly divisible by x2 - 4x + 3
Solution:
Let g(x) be x2 - 4x + 3
By applying division algorithm:
Dividend = Quotient× Divisor + Remainder
Dividend - Remainder = Quotient× Divisor
Now find the remainder when f(x) is divisible by g(x).
r(x) = 2x - 3
Therefore,
r(x) = 2x - 3 has to be subtracted so that resulting polynomial is divisible by g(x)
Solution
Any division statement can be rewritten in the form of Dividend = Divisor x Quotient + Remainder. When the remainder is zero, the dividend is said to be the multiple of the divisor. When the remainder is not equal to zero, and if it is subtracted from the dividend, then the dividend would become a multiple of the divisor. Dividend = Divisor = Step 1: Divide the dividend by divisor ) ( -___+____-___ -____+_____-____ -____+____-____ Quotient = Remainder = Hence, on subtracting 2x – 3 from the dividend, it will be exactly divisible by the given divisor.
What should be subtracted from the polynomial x 4 2x 3 x 2 18x 15 so that?
This is Expert Verified Answer Hence, required answer will be -10(x + 1) .What must be subtracted from the polynomial f/x x4 2x3 − 13x2 − 12x 21 so that the resulting polynomial is exactly divisible by x2 − 4x 3?
Hence, on subtracting 2x – 3 from the dividend, it will be exactly divisible by the given divisor.What must be subtracted from 4x 4 − 2x 3 − 6x 2 x − 5 so that the result is exactly divisible by 2x 2 x − 2?
Hence, −6 should be subtracted from 4x4−2x3−6x2+x−5 so that result is exactly divisible by 2x2+x−1.What must be subtracted from 4x 4 3x 3 2x 2 x 1?
Step-by-step explanation: Lets divide (4x4 - 2x3 - 6x2 + x - 5) by (2x2 + x – 1) as shown. Hence (−6) should be subtracted from (4x4 − 2x3 − 6x2 + x − 5) so that the resulting polynomial is exactly divisible by (2x2 + x – 1). Tải thêm tài liệu liên quan đến nội dung bài viết What should be subtracted from the polynomial x 4 2x 3 x 2 18x 15 so that the resulting polynomial?
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